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232012311313100 = 225222132747938153
BaseRepresentation
bin110100110000001110010011…
…011001100011101011001100
31010102111011022220002011122212
4310300032103121203223030
5220402242203144004400
62141240552343525552
766604223234654153
oct6460162331435314
91112434286064585
10232012311313100
1167a20961207a0a
12220316597598b8
139c5c889756236
14414165495859a
151bc528caac335
hexd30393663acc

232012311313100 has 72 divisors (see below), whose sum is σ = 503725752300960. Its totient is φ = 92757181242880.

The previous prime is 232012311313067. The next prime is 232012311313163. The reversal of 232012311313100 is 1313113210232.

It is a super-3 number, since 3×2320123113131003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6081083624 + ... + 6081121776.

It is an arithmetic number, because the mean of its divisors is an integer number (6996191004180).

Almost surely, 2232012311313100 is an apocalyptic number.

232012311313100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232012311313100 is an abundant number, since it is smaller than the sum of its proper divisors (271713440987860).

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

232012311313100 is a wasteful number, since it uses less digits than its factorization.

232012311313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67859 (or 67852 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 232012311313100 its reverse (1313113210232), we get a palindrome (233325424523332).

The spelling of 232012311313100 in words is "two hundred thirty-two trillion, twelve billion, three hundred eleven million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2213 4426 8852 11065 22130 27479 38153 44260 54958 55325 76306 109916 110650 137395 152612 190765 221300 274790 381530 549580 686975 763060 953825 1373950 1907650 2747900 3815300 60811027 84432589 121622054 168865178 243244108 304055135 337730356 422162945 608110270 844325890 1048406287 1216220540 1520275675 1688651780 2096812574 2110814725 3040551350 4193625148 4221629450 5242031435 6081102700 8443258900 10484062870 20968125740 26210157175 52420314350 104840628700 2320123113131 4640246226262 9280492452524 11600615565655 23201231131310 46402462262620 58003077828275 116006155656550 232012311313100