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232545025121 = 41972617977
BaseRepresentation
bin1101100010010011000…
…0110111110001100001
3211020020110111021000012
43120210300313301201
512302223011300441
6254455114534305
722541453046113
oct3304460676141
9736213437005
10232545025121
118a692671282
123909aa37395
1318c0ca495a6
14b38053b3b3
1560b071e9eb
hex3624c37c61

232545025121 has 24 divisors (see below), whose sum is σ = 241334890776. Its totient is φ = 223940935680.

The previous prime is 232545025033. The next prime is 232545025177. The reversal of 232545025121 is 121520545232.

It can be written as a sum of positive squares in 12 ways, for example, as 112369096225 + 120175928896 = 335215^2 + 346664^2 .

It is a de Polignac number, because none of the positive numbers 2k-232545025121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232545025721) 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, 238018985 + ... + 238019961.

It is an arithmetic number, because the mean of its divisors is an integer number (10055620449).

Almost surely, 2232545025121 is an apocalyptic number.

It is an amenable number.

232545025121 is a deficient number, since it is larger than the sum of its proper divisors (8789865655).

232545025121 is an frugal number, since it uses more digits than its factorization.

232545025121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 232545025121 in words is "two hundred thirty-two billion, five hundred forty-five million, twenty-five thousand, one hundred twenty-one".

Divisors: 1 41 97 617 977 3977 9409 25297 40057 59849 94769 385769 602809 2453809 3885529 5805353 9192593 24715169 58472473 238019473 376896313 2397371393 5671829881 232545025121