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# 116 (number)

 ← 115 116 117 →
Cardinalone hundred sixteen
Ordinal116th
(one hundred sixteenth)
Factorization22× 29
Divisors1, 2, 4, 29, 58, 116
Greek numeralΡΙϚ´
Roman numeralCXVI
Binary11101002
Ternary110223
Quaternary13104
Quinary4315
Senary3126
Octal1648
Duodecimal9812
Vigesimal5G20
Base 363836

116 (one hundred [and] sixteen) is the natural number following 115 and preceding 117.

## In mathematics

116 is a noncototient, meaning that there is no solution to the equation mφ(m) = n, where φ stands for Euler's totient function.[1]

116! + 1 is a factorial prime.[2]

There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six over a three-element field, which form the basis of a free Lie algebra of dimension 116.[3]

There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.[4]

There are 116 different 6×6 Costas arrays.[5]

## In other fields

One hundred sixteen is also: