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23131513132 = 227135310931097
BaseRepresentation
bin10101100010101111…
…101110000100101100
32012201002000121200121
4111202233232010230
5334333131410012
614343152334324
71446135421540
oct254257560454
965632017617
1023131513132
1198a0155202
1245968443a4
1322483b75a0
141196163a20
15905b3ba07
hex562bee12c

23131513132 has 96 divisors (see below), whose sum is σ = 50854511232. Its totient is φ = 8961878016.

The previous prime is 23131513129. The next prime is 23131513157.

23131513132 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 23131513097 and 23131513106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21085608 + ... + 21086704.

It is an arithmetic number, because the mean of its divisors is an integer number (529734492).

Almost surely, 223131513132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23131513132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25427255616).

23131513132 is an abundant number, since it is smaller than the sum of its proper divisors (27722998100).

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

23131513132 is a wasteful number, since it uses less digits than its factorization.

23131513132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2265 counting only the distinct ones).

The product of its digits is 1620, while the sum is 25.

The spelling of 23131513132 in words is "twenty-three billion, one hundred thirty-one million, five hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 689 742 1093 1097 1378 1484 2186 2194 2756 4372 4388 4823 7651 7679 9646 14209 14261 15302 15358 19292 28418 28522 30604 30716 56836 57044 57929 58141 99463 99827 115858 116282 198926 199654 231716 232564 397852 399308 405503 406987 753077 755833 811006 813974 1199021 1506154 1511666 1622012 1627948 2398042 3012308 3023332 4796084 5271539 5290831 8393147 10543078 10581662 15587273 16786294 21086156 21163324 31174546 33572588 62349092 63548113 109110911 127096226 218221822 254192452 436443644 444836791 826125469 889673582 1652250938 1779347164 3304501876 5782878283 11565756566 23131513132