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23113431132 = 223112171039091
BaseRepresentation
bin10101100001101010…
…101111100001011100
32012122210222221211220
4111201222233201130
5334314014244012
614341305013340
71445525631411
oct254152574134
965583887756
1023113431132
119890a24a00
124590784250
13224472618c
1411939b8108
1590426908c
hex561aaf85c

23113431132 has 144 divisors (see below), whose sum is σ = 63383314176. Its totient is φ = 6527347200.

The previous prime is 23113431091. The next prime is 23113431137.

23113431132 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113431137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537907 + ... + 2546997.

It is an arithmetic number, because the mean of its divisors is an integer number (440161904).

Almost surely, 223113431132 is an apocalyptic number.

23113431132 is a gapful number since it is divisible by the number (22) 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 23113431132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31691657088).

23113431132 is an abundant number, since it is smaller than the sum of its proper divisors (40269883044).

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

23113431132 is a wasteful number, since it uses less digits than its factorization.

23113431132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9227 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The spelling of 23113431132 in words is "twenty-three billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 103 121 132 187 204 206 242 309 363 374 412 484 561 618 726 748 1122 1133 1236 1452 1751 2057 2244 2266 3399 3502 4114 4532 5253 6171 6798 7004 8228 9091 10506 12342 12463 13596 18182 19261 21012 24684 24926 27273 36364 37389 38522 49852 54546 57783 74778 77044 100001 109092 115566 149556 154547 200002 211871 231132 300003 309094 400004 423742 463641 600006 618188 635613 847484 927282 936373 1100011 1200012 1271226 1700017 1854564 1872746 2200022 2542452 2809119 3300033 3400034 3745492 4400044 5100051 5618238 6600066 6800068 10200102 10300103 11236476 13200132 15918341 18700187 20400204 20600206 30900309 31836682 37400374 41200412 47755023 56100561 61800618 63673364 74800748 95510046 112201122 113301133 123601236 175101751 191020092 224402244 226602266 339903399 350203502 453204532 525305253 679806798 700407004 1050610506 1359613596 1926119261 2101221012 3852238522 5778357783 7704477044 11556715566 23113431132