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112311131232 = 25312765314107
BaseRepresentation
bin110100010011001000…
…0111101110001100000
3101201220011012121102010
41220212100331301200
53320003122144412
6123332305152520
711054113602246
oct1504620756140
9351804177363
10112311131232
11436a3784223
121992492b740
13a78b26b791
14561610c796
152dc4e6733c
hex1a2643dc60

112311131232 has 96 divisors (see below), whose sum is σ = 297614241792. Its totient is φ = 37082755584.

The previous prime is 112311131171. The next prime is 112311131237. The reversal of 112311131232 is 232131113211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1123111312322 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112311131199 and 112311131208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112311131237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7954323 + ... + 7968429.

It is an arithmetic number, because the mean of its divisors is an integer number (3100148352).

Almost surely, 2112311131232 is an apocalyptic number.

112311131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112311131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148807120896).

112311131232 is an abundant number, since it is smaller than the sum of its proper divisors (185303110560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112311131232 is a wasteful number, since it uses less digits than its factorization.

112311131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14900 (or 14892 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 112311131232 its reverse (232131113211), we get a palindrome (344442244443).

The spelling of 112311131232 in words is "one hundred twelve billion, three hundred eleven million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 653 762 1016 1306 1524 1959 2032 2612 3048 3918 4064 5224 6096 7836 10448 12192 14107 15672 20896 28214 31344 42321 56428 62688 82931 84642 112856 165862 169284 225712 248793 331724 338568 451424 497586 663448 677136 995172 1326896 1354272 1791589 1990344 2653792 3583178 3980688 5374767 7166356 7961376 9211871 10749534 14332712 18423742 21499068 27635613 28665424 36847484 42998136 55271226 57330848 73694968 85996272 110542452 147389936 171992544 221084904 294779872 442169808 884339616 1169907617 2339815234 3509722851 4679630468 7019445702 9359260936 14038891404 18718521872 28077782808 37437043744 56155565616 112311131232