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112537316313 = 3241437092539
BaseRepresentation
bin110100011001110111…
…1110010101111011001
3101202110220211000000100
41220303233302233121
53320434023110223
6123410545130013
711062531256052
oct1506357625731
9352426730010
10112537316313
11437aa421444
1219988629909
13a7c60934c6
145638189729
152dd9c45043
hex1a33bf2bd9

112537316313 has 24 divisors (see below), whose sum is σ = 170391180960. Its totient is φ = 71492783040.

The previous prime is 112537316303. The next prime is 112537316371. The reversal of 112537316313 is 313613735211.

112537316313 is a `hidden beast` number, since 1 + 1 + 25 + 3 + 7 + 316 + 313 = 666.

It is not a de Polignac number, because 112537316313 - 220 = 112536267737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112537316303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3530403 + ... + 3562136.

It is an arithmetic number, because the mean of its divisors is an integer number (7099632540).

Almost surely, 2112537316313 is an apocalyptic number.

It is an amenable number.

112537316313 is a deficient number, since it is larger than the sum of its proper divisors (57853864647).

112537316313 is a wasteful number, since it uses less digits than its factorization.

112537316313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7092629 (or 7092626 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The spelling of 112537316313 in words is "one hundred twelve billion, five hundred thirty-seven million, three hundred sixteen thousand, three hundred thirteen".

Divisors: 1 3 9 41 43 123 129 369 387 1763 5289 15867 7092539 21277617 63832851 290794099 304979177 872382297 914937531 2617146891 2744812593 12504146257 37512438771 112537316313