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What is 11 called?

11 (eleven) is the natural number following 10 and preceding 12.

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Natural number

11 (eleven) is the natural number following 10 and preceding 12. It is the first repdigit. In English, it is the smallest positive integer whose name has three syllables.

Name [ edit ]

"Eleven" derives from the Old English ęndleofon, which is first attested in Bede's late 9th-century Ecclesiastical History of the English People.[2][3] It has cognates in every Germanic language (for example, German elf), whose Proto-Germanic ancestor has been reconstructed as *ainalifa-,[4] from the prefix *aina- (adjectival "one") and suffix *-lifa-, of uncertain meaning.[3] It is sometimes compared with the Lithuanian vienúolika, though -lika is used as the suffix for all numbers from 11 to 19 (analogously to "-teen").[3] The Old English form has closer cognates in Old Frisian, Saxon, and Norse, whose ancestor has been reconstructed as *ainlifun. This was formerly thought to be derived from Proto-Germanic *tehun ("ten");[3][5] it is now sometimes connected with *leikʷ- or *leip- ("left; remaining"), with the implicit meaning that "one is left" after counting to ten.[3] In English, "eleven" is the only two-digit number that does not contain the letter T.

In languages [ edit ]

While 11 has its own name in Germanic languages such as English, German, or Swedish, and some Latin-based languages such as Spanish, Portuguese, and French, it is the first compound number in many other languages: Italian ùndici, Chinese 十一 shí yī, Korean 열하나 yeol hana or 십일 ship il.

In mathematics [ edit ]

11 is the fifth prime number, and the first two-digit numeric palindrome. The next prime number is 13, with which it comprises a twin prime. 11 is the first repunit prime (it is the first repunit of any kind),[6] the first strong prime,[7] the second unique prime,[8] the second good prime,[9] the third super-prime, and the fourth Lucas prime.[10] 11 is the first prime number that is not an exponent for a Mersenne prime, as 211 − 1 = 2047, which is composite. 11 is a Heegner number, meaning that the ring of integers of the field Q ( − 11 ) {\displaystyle \mathbb {Q} ({\sqrt {-11}})} has the property of unique factorization. As a consequence, there exists at most one point on the elliptic curve x3 = y2 + 11 that has positive-integer coordinates. In this case, this unique point is (15, 58). There are 11 orthogonal curvilinear coordinate systems (to within a conformal symmetry) in which the 3-variable Helmholtz equation can be solved using the separation of variables technique. The rows of Pascal's Triangle can be seen as representation of the powers of 11.[11] 11 of 35 hexominoes can fold in a net to form a cube, while 11 of 66 octiamonds can fold into a regular octahedron. An 11-sided polygon is called a hendecagon or undecagon. The complete graph K 11 has a total of 55 edges, which collectively represent the diagonals and sides of a hendecagon. The number 11 appears in tessellations in various dimensions and geometrical spaces; there are: The 11-cell is a self-dual abstract 4-polytope with 11 vertices, 55 edges, 55 triangular faces, and 11 hemi-icosahedral cells. It is universal in the sense that it is the only abstract polytope with hemi-icosahedral facets and hemi-dodecahedral vertex figures. The 11-cell contains the same number of vertices and edges as the complete graph K 11 and the 10-simplex, a regular polytope in 10 dimensions. Mathieu group M 11 is the smallest sporadic group, defined as the sharply 4-transitive permutation group on 11 objects. It has order 7920 = 24 · 32 · 5 · 11 = 8 · 9 · 10 · 11, with 11 as its largest prime factor, and a minimal faithful complex representation in 10 dimensions. Its group action is the automorphism group of Steiner system S(4,5,11), with an induced action on unordered pairs of points that gives a rank 3 action on 55 points. Mathieu group M 12 , on the other hand, is formed from the permutations of projective special linear group PSL 2 (11) with those of (2,10)(3,4)(5,9)(6,7). It is the second-smallest sporadic group, and holds M 11 as a maximal subgroup and point stabilizer, with an order equal to 95040 = 26 · 33 · 5 · 11 = 8 · 9 · 10 · 11 · 12, where 11 is also its largest prime factor, like M 11 . M 12 also centralizes an element of order 11 in the friendly giant, and has an irreducible faithful complex representation in 11 dimensions. Within safe and Sophie Germain primes of the form 2p + 1, 11 is the third safe prime, from a p of 5,[14] and the fourth Sophie Germain prime, which yields 23.[15]

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In decimal [ edit ]

11 is the smallest two-digit prime number. On the seven-segment display of a calculator, it is both a strobogrammatic prime and a dihedral prime.[16] Multiples of 11 by one-digit numbers yield palindromic numbers with matching double digits: 00, 11, 22, 33, 44, etc. The sum of the first 11 non-zero positive integers, equivalently the 11th triangular number, is 66. On the other hand, the sum of the first 11 integers, from zero to ten, is 55. The first four powers of 11 yield palindromic numbers: 111 = 11, 112 = 121, 113 = 1331, and 114 = 14641. 11 is the 11th index or member in the sequence of palindromic numbers, and 121, equal to 11 x 11, is the 22nd.[17] The factorial of 11, 11! = 39916800, has about a 0.2% difference to the round number 4 x 107, or 40 million. Among the first 100 factorials, the next closest to a round number is 96! ~ 9.91678 x 10149, which is about 0.8% less than 10149.[18] If a number is divisible by 11, reversing its digits will result in another multiple of 11. As long as no two adjacent digits of a number added together exceed 9, then multiplying the number by 11, reversing the digits of the product, and dividing that new number by 11 will yield a number that is the reverse of the original number; as in:

142,312 × 11 = 1,565,432 → 2,345,651 ÷ 11 = 213,241.

Divisibility tests [ edit ]

A simple test to determine whether an integer is divisible by 11 is to take every digit of the number in an odd position and add them, then take the remaining digits and add them. If the difference between the two sums is a multiple of 11, including 0, then the number is divisible by 11.[19] For instance, with the number 65,637: (6 + 6 + 7) - (5 + 3) = 19 - 8 = 11, so 65,637 is divisible by 11. This technique also works with groups of digits rather than individual digits, so long as the number of digits in each group is odd, although not all groups have to have the same number of digits. If one uses three digits in each group, one gets from 65,637 the calculation,

(065) - 637 = -572, which is divisible by 11.

Another test for divisibility is to separate a number into groups of two consecutive digits (adding a leading zero if there is an odd number of digits), and then add the numbers so formed; if the result is divisible by 11, the number is divisible by 11:

06 + 56 + 37 = 99, which is divisible by 11.

This also works by adding a trailing zero instead of a leading one, and with larger groups of digits, provided that each group has an even number of digits (not all groups have to have the same number of digits):

65 + 63 + 70 = 198, which is divisible by 11.

Multiplying 11 [ edit ]

An easy way to multiply numbers by 11 in base 10 is:

If the number has:

1 digit, replicate the digit: 2 × 11 becomes 22.

2 digits, add the 2 digits and place the result in the middle: 47 × 11 becomes 4 (11) 7 or 4 (10+1) 7 or (4+1) 1 7 or 517. 3 digits, keep the first digit in its place for the result's first digit, add the first and second digits to form the result's second digit, add the second and third digits to form the result's third digit, and keep the third digit as the result's fourth digit. For any resulting numbers greater than 9, carry the 1 to the left. 123 × 11 becomes 1 (1+2) (2+3) 3 or 1353. 481 × 11 becomes 4 (4+8) (8+1) 1 or 4 (10+2) 9 1 or (4+1) 2 9 1 or 5291. 123 × 11 becomes 1 (1+2) (2+3) 3 or 1353. 481 × 11 becomes 4 (4+8) (8+1) 1 or 4 (10+2) 9 1 or (4+1) 2 9 1 or 5291. 4 or more digits, follow the same pattern as for 3 digits.

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List of basic calculations [ edit ]

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 50 100 1000 11 × x 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 220 275 550 1100 11000 Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 ÷ x 11 5.5 3. 6 2.75 2.2 1.8 3 1. 571428 1.375 1. 2 1.1 1 0.91 6 0. 846153 0.7 857142 0.7 3 x ÷ 11 0. 09 0. 18 0. 27 0. 36 0. 45 0. 54 0. 63 0. 72 0. 81 0. 90 1 1. 09 1. 18 1. 27 1. 36 Exponentiation 1 2 3 4 5 6 7 8 9 10 11 11x 11 121 1331 14641 161051 1771561 19487171 214358881 2357947691 25937424601 285311670611 x11 1 2048 177147 4194304 48828125 362797056 1977326743 8589934592 31381059609 100000000000 285311670611

In other bases [ edit ]

In base 13 and higher bases (such as hexadecimal), 11 is represented as B, where ten is A. In duodecimal, 11 is sometimes represented as E or ↋, and ten as T, X, or ↊. Radix 1 5 10 15 20 25 30 40 50 60 70 80 90 100 110 120 130 140 150 200 250 500 1000 10000 100000 1000000 x 11 1 5 A 11 14 11 19 11 23 11 28 11 37 11 46 11 55 11 64 11 73 11 82 11 91 11 A0 11 AA 11 109 11 118 11 127 11 172 11 208 11 415 11 82A 11 7572 11 6914A 11 623351 11

In science [ edit ]

Astronomy [ edit ]

In religion and spirituality [ edit ]

Christianity [ edit ]

After Judas Iscariot was disgraced, Jesus's remaining apostles were sometimes called "the Eleven" (Mark 16:11; Luke 24:9 and 24:33), even after Matthias was added to bring the number back to 12, as in Acts 2:14:[21] Peter stood up with the eleven (New International Version). The New Living Translation says Peter stepped forward with the eleven other apostles, making clear that the number of apostles was now 12. Saint Ursula is said to have been martyred in the 3rd or 4th century in Cologne with a number of companions, whose reported number "varies from five to eleven".[22] A legend that Ursula died with 11,000 virgin companions[23] has been thought to appear from misreading XI. M. V. (Latin abbreviation for "Eleven martyr virgins") as "Eleven thousand virgins".

Babylonian [ edit ]

In the Enûma Eliš the goddess Tiamat creates 11 monsters to avenge the death of her husband, Apsû.

Mysticism [ edit ]

The number 11 (alongside its multiples 22 and 33) are master numbers in numerology, especially in New Age.[24] In astrology, Aquarius is the 11th astrological sign of the Zodiac.[25]

What is 11 called?

What is the world's longest name?

Why are we attracted to evil?

Awaken your dormant DNA ability to attract wealth effortlessly

Natural number

Name [ edit ]

In languages [ edit ]

In mathematics [ edit ]

What is the holiest number?

How can I grow money in a month?

Awaken your dormant DNA ability to attract wealth effortlessly

In decimal [ edit ]

142,312 × 11 = 1,565,432 → 2,345,651 ÷ 11 = 213,241.

Divisibility tests [ edit ]

(065) - 637 = -572, which is divisible by 11.

06 + 56 + 37 = 99, which is divisible by 11.

65 + 63 + 70 = 198, which is divisible by 11.

Multiplying 11 [ edit ]

An easy way to multiply numbers by 11 in base 10 is:

If the number has:

1 digit, replicate the digit: 2 × 11 becomes 22.

How to grow financially from nothing?

How do you tell if you grew up poor?

Awaken your dormant DNA ability to attract wealth effortlessly

List of basic calculations [ edit ]

In other bases [ edit ]

In science [ edit ]

Astronomy [ edit ]

In religion and spirituality [ edit ]

Christianity [ edit ]

Babylonian [ edit ]

Mysticism [ edit ]

In music [ edit ]

In sports [ edit ]

In the military [ edit ]

In computing [ edit ]

In Canada [ edit ]

The stylized maple leaf on the Flag of Canada has 11 points.

The loonie is a hendecagon, an 11-sided polygon.

Clocks depicted on Canadian currency, like the Canadian 50-dollar bill, show 11:00.

In other fields [ edit ]

See also [ edit ]

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