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232431133022292 = 2233710321061241321
BaseRepresentation
bin110100110110010100010111…
…000111100101100001010100
31010110222012101022000102210010
4310312110113013211201110
5220431122430023203132
62142201215522400220
766646411103522001
oct6466242707454124
91113865338012703
10232431133022292
116807254313aa76
122209a864200070
139c902146090b9
144157a267248a8
151bd1101a736cc
hexd365171e5854

232431133022292 has 96 divisors (see below), whose sum is σ = 562433902960384. Its totient is φ = 74647341849600.

The previous prime is 232431133022219. The next prime is 232431133022293. The reversal of 232431133022292 is 292220331134232.

It is a self number, because there is not a number n which added to its sum of digits gives 232431133022292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232431133022293) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 963040992 + ... + 963282312.

Almost surely, 2232431133022292 is an apocalyptic number.

It is an amenable number.

232431133022292 is an abundant number, since it is smaller than the sum of its proper divisors (330002769938092).

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

232431133022292 is a wasteful number, since it uses less digits than its factorization.

232431133022292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262529 (or 262527 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The spelling of 232431133022292 in words is "two hundred thirty-two trillion, four hundred thirty-one billion, one hundred thirty-three million, twenty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 37 74 103 111 148 206 222 309 412 444 618 1236 3811 7622 11433 15244 21061 22866 42122 45732 63183 84244 126366 241321 252732 482642 723963 779257 965284 1447926 1558514 2169283 2337771 2895852 3117028 4338566 4675542 6507849 8677132 8928877 9351084 13015698 17857754 24856063 26031396 26786631 35715508 49712126 53573262 74568189 80263471 99424252 107146524 149136378 160526942 240790413 298272756 321053884 481580826 919674331 963161652 1839348662 2759022993 3678697324 5082461581 5518045986 10164923162 11036091972 15247384743 20329846324 30494769486 60989538972 188051078497 376102156994 523493542843 564153235491 752204313988 1046987085686 1128306470982 1570480628529 2093974171372 2256612941964 3140961257058 6281922514116 19369261085191 38738522170382 58107783255573 77477044340764 116215566511146 232431133022292