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232131322332 = 2232713312285747
BaseRepresentation
bin1101100000110000011…
…0101110000111011100
3211012011122000222110200
43120030012232013130
512300401104303312
6254350055503500
722525300453410
oct3301406560734
9735148028420
10232131322332
118a4a0097248
1238ba4387b90
1318b7511ac40
14b34160ad40
1560892510dc
hex360c1ae1dc

232131322332 has 144 divisors (see below), whose sum is σ = 745482995712. Its totient is φ = 59246536320.

The previous prime is 232131322327. The next prime is 232131322333. The reversal of 232131322332 is 233223131232.

232131322332 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 1 + 322 + 332 = 666.

232131322332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 232131322296 and 232131322305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232131322333) 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, 1041318 + ... + 1244429.

It is an arithmetic number, because the mean of its divisors is an integer number (5176965248).

Almost surely, 2232131322332 is an apocalyptic number.

It is an amenable number.

232131322332 is an abundant number, since it is smaller than the sum of its proper divisors (513351673380).

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

232131322332 is a wasteful number, since it uses less digits than its factorization.

232131322332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2285808 (or 2285803 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 232131322332 its reverse (233223131232), we get a palindrome (465354453564).

The spelling of 232131322332 in words is "two hundred thirty-two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 31 36 39 42 52 62 63 78 84 91 93 117 124 126 156 182 186 217 234 252 273 279 364 372 403 434 468 546 558 651 806 819 868 1092 1116 1209 1302 1612 1638 1953 2418 2604 2821 3276 3627 3906 4836 5642 7254 7812 8463 11284 14508 16926 25389 33852 50778 101556 2285747 4571494 6857241 9142988 13714482 16000229 20571723 27428964 29714711 32000458 41143446 48000687 59429422 64000916 70858157 82286892 89144133 96001374 118858844 141716314 144002061 178288266 192002748 208002977 212574471 267432399 283432628 288004122 356576532 416005954 425148942 496007099 534864798 576008244 624008931 637723413 832011908 850297884 921156041 992014198 1069729596 1248017862 1275446826 1488021297 1842312082 1872026793 1984028396 2496035724 2550893652 2763468123 2976042594 3684624164 3744053586 4464063891 5526936246 5952085188 6448092287 7488107172 8290404369 8928127782 11053872492 12896184574 16580808738 17856255564 19344276861 25792369148 33161617476 38688553722 58032830583 77377107444 116065661166 232131322332