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232310234111125 = 53617397244357
BaseRepresentation
bin110100110100100011110000…
…111110110101110010010101
31010110112122022122101101222111
4310310203300332311302111
5220422132324413024000
62142025503115231021
766634601110654222
oct6464436076656225
91113478278341874
10232310234111125
1168026242927665
122207b343448471
139c819b8119b41
144151c37c66949
151bccdc7c08cba
hexd348f0fb5c95

232310234111125 has 96 divisors (see below), whose sum is σ = 301830732766368. Its totient is φ = 178434607104000.

The previous prime is 232310234111117. The next prime is 232310234111129. The reversal of 232310234111125 is 521111432013232.

It can be written as a sum of positive squares in 48 ways, for example, as 216600037806244 + 15710196304881 = 14717338^2 + 3963609^2 .

It is not a de Polignac number, because 232310234111125 - 23 = 232310234111117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232310234111129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5237262447 + ... + 5237306803.

It is an arithmetic number, because the mean of its divisors is an integer number (3144070132983).

Almost surely, 2232310234111125 is an apocalyptic number.

232310234111125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

232310234111125 is a deficient number, since it is larger than the sum of its proper divisors (69520498655243).

232310234111125 is an frugal number, since it uses more digits than its factorization.

232310234111125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44700 (or 44593 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 232310234111125 its reverse (521111432013232), we get a palindrome (753421666124357).

The spelling of 232310234111125 in words is "two hundred thirty-two trillion, three hundred ten billion, two hundred thirty-four million, one hundred eleven thousand, one hundred twenty-five".

Divisors: 1 5 25 61 73 97 125 305 365 485 1525 1825 2425 4453 5917 7081 7625 9125 9409 12125 22265 29585 35405 44357 47045 111325 147925 177025 221785 235225 431941 556625 573949 686857 739625 885125 1108925 1176125 2159705 2705777 2869745 3238061 3434285 4302629 5544625 10798525 13528885 14348725 16190305 17171425 21513145 41898277 53992625 67644425 71743625 80951525 85857125 107565725 197521721 209491385 262460369 314091917 338222125 404757625 417355013 537828625 987608605 1047456925 1312301845 1570459585 2086775065 4938043025 5237284625 6561509225 7852297925 10433875325 19159606937 24690215125 25458655793 30466915949 32807546125 39261489625 52169376625 95798034685 127293278965 152334579745 478990173425 636466394825 761672898725 1858481872889 2394950867125 3182331974125 3808364493625 9292409364445 46462046822225 232310234111125