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232331322132 = 223271370919207
BaseRepresentation
bin1101100001100000000…
…1101010001100010100
3211012200120101000121200
43120120001222030110
512301303304302012
6254422002312500
722533246440250
oct3303001521424
9735616330550
10232331322132
118a592a7a038
123903b358730
1318ba76a5110
14b35ddcd260
15609baaa3dc
hex361806a314

232331322132 has 72 divisors (see below), whose sum is σ = 722808567936. Its totient is φ = 61274193984.

The previous prime is 232331322131. The next prime is 232331322163. The reversal of 232331322132 is 231223133232.

232331322132 is a `hidden beast` number, since 2 + 3 + 2 + 331 + 322 + 1 + 3 + 2 = 666.

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 = 232331322096 and 232331322105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232331322131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35456328 + ... + 35462879.

It is an arithmetic number, because the mean of its divisors is an integer number (10039007888).

Almost surely, 2232331322132 is an apocalyptic number.

It is an amenable number.

232331322132 is an abundant number, since it is smaller than the sum of its proper divisors (490477245804).

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

232331322132 is a wasteful number, since it uses less digits than its factorization.

232331322132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70919237 (or 70919232 counting only the distinct ones).

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

Adding to 232331322132 its reverse (231223133232), we get a palindrome (463554455364).

The spelling of 232331322132 in words is "two hundred thirty-two billion, three hundred thirty-one million, three hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 70919207 141838414 212757621 283676828 425515242 496434449 638272863 851030484 921949691 992868898 1276545726 1489303347 1843899382 1985737796 2553091452 2765849073 2978606694 3687798764 4467910041 5531698146 5957213388 6453647837 8297547219 8935820082 11063396292 12907295674 16595094438 17871640164 19360943511 25814591348 33190188876 38721887022 58082830533 77443774044 116165661066 232331322132