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231521000250144 = 25311832641486403
BaseRepresentation
bin110100101001000100101110…
…111110100101101100100000
31010100202012011120122012021110
4310221010232332211230200
5220321220002031001034
62140223140150423320
766523561133561463
oct6451045676455440
91110665146565243
10231521000250144
11678515609a0520
1221b723a2661b40
139c2544b7b6337
1441259676d72da
151bb75d4badde9
hexd2912efa5b20

231521000250144 has 96 divisors (see below), whose sum is σ = 670979810398464. Its totient is φ = 69312603188480.

The previous prime is 231521000250143. The next prime is 231521000250247. The reversal of 231521000250144 is 441052000125132.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2315210002501442 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (231521000250143) 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 15 ways as a sum of consecutive naturals, for example, 1320655554 + ... + 1320830849.

It is an arithmetic number, because the mean of its divisors is an integer number (6989373024984).

Almost surely, 2231521000250144 is an apocalyptic number.

231521000250144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231521000250144 is an abundant number, since it is smaller than the sum of its proper divisors (439458810148320).

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

231521000250144 is a wasteful number, since it uses less digits than its factorization.

231521000250144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641486510 (or 2641486502 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 231521000250144 its reverse (441052000125132), we get a palindrome (672573000375276).

The spelling of 231521000250144 in words is "two hundred thirty-one trillion, five hundred twenty-one billion, two hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 132 166 176 249 264 332 352 498 528 664 913 996 1056 1328 1826 1992 2656 2739 3652 3984 5478 7304 7968 10956 14608 21912 29216 43824 87648 2641486403 5282972806 7924459209 10565945612 15848918418 21131891224 29056350433 31697836836 42263782448 58112700866 63395673672 84527564896 87169051299 116225401732 126791347344 174338102598 219243371449 232450803464 253582694688 348676205196 438486742898 464901606928 657730114347 697352410392 876973485796 929803213856 1315460228694 1394704820784 1753946971592 2411677085939 2630920457388 2789409641568 3507893943184 4823354171878 5261840914776 7015787886368 7235031257817 9646708343756 10523681829552 14470062515634 19293416687512 21047363659104 28940125031268 38586833375024 57880250062536 77173666750048 115760500125072 231521000250144