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131331525425320 = 2351123120711075091
BaseRepresentation
bin11101110111001000000000…
…111010111011100010101000
3122020000011121211000021112011
4131313020000322323202220
5114203213431002102240
61143152511520525304
736443250426113143
oct3567100072734250
9566004554007464
10131331525425320
113893442932a030
1212890b1a180834
135838681a9963c
1424606a05d305a
15102b37aeb56ea
hex777200ebb8a8

131331525425320 has 128 divisors (see below), whose sum is σ = 336402995374080. Its totient is φ = 45676703776000.

The previous prime is 131331525425189. The next prime is 131331525425381. The reversal of 131331525425320 is 23524525133131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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, 121620975 + ... + 122696065.

It is an arithmetic number, because the mean of its divisors is an integer number (2628148401360).

Almost surely, 2131331525425320 is an apocalyptic number.

131331525425320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131331525425320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168201497687040).

131331525425320 is an abundant number, since it is smaller than the sum of its proper divisors (205071469948760).

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

131331525425320 is a wasteful number, since it uses less digits than its factorization.

131331525425320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087207 (or 1087203 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 131331525425320 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, five hundred twenty-five million, four hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 12071 24142 48284 60355 96568 120710 132781 241420 265562 277633 482840 531124 555266 663905 1062248 1075091 1110532 1327810 1388165 2150182 2221064 2655620 2776330 3053963 4300364 5311240 5375455 5552660 6107926 8600728 10750910 11105320 11826001 12215852 15269815 21501820 23652002 24431704 24727093 30539630 43003640 47304004 49454186 59130005 61079260 94608008 98908372 118260010 122158520 123635465 197816744 236520020 247270930 271998023 473040040 494541860 543996046 989083720 1087992092 1359990115 2175984184 2719980230 5439960460 10879920920 12977423461 25954846922 51909693844 64887117305 103819387688 129774234610 142751658071 259548469220 285503316142 298480739603 519096938440 571006632284 596961479206 713758290355 1142013264568 1193922958412 1427516580710 1492403698015 2387845916824 2855033161420 2984807396030 3283288135633 5710066322840 5969614792060 6566576271266 11939229584120 13133152542532 16416440678165 26266305085064 32832881356330 65665762712660 131331525425320