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112100013432 = 233211212867311
BaseRepresentation
bin110100001100110101…
…1100111010101111000
3101201100102221201020100
41220121223213111320
53314040100412212
6123255324155400
711045641251411
oct1503153472570
9351312851210
10112100013432
11435a5598300
1219886098b60
13a7565c0bc4
1455d6074808
152db1663bdc
hex1a19ae7578

112100013432 has 72 divisors (see below), whose sum is σ = 333713736720. Its totient is φ = 33969698400.

The previous prime is 112100013419. The next prime is 112100013449. The reversal of 112100013432 is 234310001211.

112100013432 is a `hidden beast` number, since 11 + 210 + 0 + 0 + 13 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1121000134322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6424944 + ... + 6442367.

It is an arithmetic number, because the mean of its divisors is an integer number (4634913010).

Almost surely, 2112100013432 is an apocalyptic number.

112100013432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100013432 is an abundant number, since it is smaller than the sum of its proper divisors (221613723288).

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

112100013432 is a wasteful number, since it uses less digits than its factorization.

112100013432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12867345 (or 12867327 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112100013432 its reverse (234310001211), we get a palindrome (346410014643).

The spelling of 112100013432 in words is "one hundred twelve billion, one hundred million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 12867311 25734622 38601933 51469244 77203866 102938488 115805799 141540421 154407732 231611598 283080842 308815464 424621263 463223196 566161684 849242526 926446392 1132323368 1273863789 1556944631 1698485052 2547727578 3113889262 3396970104 4670833893 5095455156 6227778524 9341667786 10190910312 12455557048 14012501679 18683335572 28025003358 37366671144 56050006716 112100013432