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232331201312 = 2572509291101
BaseRepresentation
bin1101100001100000000…
…1001100101100100000
3211012200120010212212212
43120120001030230200
512301303241420222
6254421555541252
722533245425100
oct3303001145440
9735616125785
10232331201312
118a5929a7291
123903b2ba828
1318ba7662122
14b35dd9b200
15609ba846e2
hex361804cb20

232331201312 has 72 divisors (see below), whose sum is σ = 533127113820. Its totient is φ = 99374553600.

The previous prime is 232331201281. The next prime is 232331201329. The reversal of 232331201312 is 213102133232.

It can be written as a sum of positive squares in 2 ways, for example, as 201381947536 + 30949253776 = 448756^2 + 175924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652562 + ... + 943662.

Almost surely, 2232331201312 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 232331201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266563556910).

232331201312 is an abundant number, since it is smaller than the sum of its proper divisors (300795912508).

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

232331201312 is a wasteful number, since it uses less digits than its factorization.

232331201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291634 (or 291619 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 232331201312 its reverse (213102133232), we get a palindrome (445433334544).

The spelling of 232331201312 in words is "two hundred thirty-two billion, three hundred thirty-one million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 509 784 1018 1568 2036 3563 4072 7126 8144 14252 16288 24941 28504 49882 57008 99764 114016 199528 291101 399056 582202 798112 1164404 2037707 2328808 4075414 4657616 8150828 9315232 14263949 16301656 28527898 32603312 57055796 65206624 114111592 148170409 228223184 296340818 456446368 592681636 1037192863 1185363272 2074385726 2370726544 4148771452 4741453088 7260350041 8297542904 14520700082 16595085808 29041400164 33190171616 58082800328 116165600656 232331201312