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113189854961 is a prime number
BaseRepresentation
bin110100101101010100…
…1000001111011110001
3101211011101200101202102
41221122221001323301
53323303100324321
6123555415230145
711114643615101
oct1513251017361
9354141611672
10113189854961
11440047a4387
1219b2b078355
13a89b325b51
14569aacb201
152e2718ec0b
hex1a5aa41ef1

113189854961 has 2 divisors, whose sum is σ = 113189854962. Its totient is φ = 113189854960.

The previous prime is 113189854919. The next prime is 113189855017. The reversal of 113189854961 is 169458981311.

It is an a-pointer prime, because the next prime (113189855017) can be obtained adding 113189854961 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112070283361 + 1119571600 = 334769^2 + 33460^2 .

It is a cyclic number.

It is not a de Polignac number, because 113189854961 - 210 = 113189853937 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113189854897 and 113189854906.

It is not a weakly prime, because it can be changed into another prime (113189856961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56594927480 + 56594927481.

It is an arithmetic number, because the mean of its divisors is an integer number (56594927481).

Almost surely, 2113189854961 is an apocalyptic number.

It is an amenable number.

113189854961 is a deficient number, since it is larger than the sum of its proper divisors (1).

113189854961 is an equidigital number, since it uses as much as digits as its factorization.

113189854961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1866240, while the sum is 56.

The spelling of 113189854961 in words is "one hundred thirteen billion, one hundred eighty-nine million, eight hundred fifty-four thousand, nine hundred sixty-one".