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131285527920 = 2433560780337
BaseRepresentation
bin111101001000100111…
…0100010110101110000
3110112212111212211102000
41322101032202311300
54122333043343140
6140151200254000
712325243401111
oct1722116426560
9415774784360
10131285527920
11507502922a8
122153b311300
13c4c3313541
1464d6100208
153635b45a30
hex1e913a2d70

131285527920 has 80 divisors (see below), whose sum is σ = 452205714720. Its totient is φ = 35009473536.

The previous prime is 131285527883. The next prime is 131285527931. The reversal of 131285527920 is 29725582131.

131285527920 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 8 + 552 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30388009 + ... + 30392328.

It is an arithmetic number, because the mean of its divisors is an integer number (5652571434).

Almost surely, 2131285527920 is an apocalyptic number.

131285527920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131285527920 is an abundant number, since it is smaller than the sum of its proper divisors (320920186800).

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

131285527920 is a wasteful number, since it uses less digits than its factorization.

131285527920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60780359 (or 60780347 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 131285527920 in words is "one hundred thirty-one billion, two hundred eighty-five million, five hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 60780337 121560674 182341011 243121348 303901685 364682022 486242696 547023033 607803370 729364044 911705055 972485392 1094046066 1215606740 1458728088 1641069099 1823410110 2188092132 2431213480 2735115165 2917456176 3282138198 3646820220 4376184264 4862426960 5470230330 6564276396 7293640440 8205345495 8752368528 10940460660 13128552792 14587280880 16410690990 21880921320 26257105584 32821381980 43761842640 65642763960 131285527920