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111916109353 is a prime number
BaseRepresentation
bin110100000111010111…
…0000100111000101001
3101200212121220102021011
41220032232010320221
53313201010444403
6123225154343521
711041246143046
oct1501656047051
9350777812234
10111916109353
11435107a9464
121983458aba1
13a727481019
1455b98821cd
152da0438a6d
hex1a0eb84e29

111916109353 has 2 divisors, whose sum is σ = 111916109354. Its totient is φ = 111916109352.

The previous prime is 111916109351. The next prime is 111916109359. The reversal of 111916109353 is 353901619111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97161877264 + 14754232089 = 311708^2 + 121467^2 .

It is a cyclic number.

It is not a de Polignac number, because 111916109353 - 21 = 111916109351 is a prime.

Together with 111916109351, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111916109351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55958054676 + 55958054677.

It is an arithmetic number, because the mean of its divisors is an integer number (55958054677).

Almost surely, 2111916109353 is an apocalyptic number.

It is an amenable number.

111916109353 is a deficient number, since it is larger than the sum of its proper divisors (1).

111916109353 is an equidigital number, since it uses as much as digits as its factorization.

111916109353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 40.

The spelling of 111916109353 in words is "one hundred eleven billion, nine hundred sixteen million, one hundred nine thousand, three hundred fifty-three".