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131335259900 = 225213195317217
BaseRepresentation
bin111101001010000110…
…0010000011011111100
3110112222222110110212012
41322110030100123330
54122433311304100
6140200134230352
712326416201235
oct1722414203374
9415888413765
10131335259900
115077636a709
1221553ab53b8
13c500706950
1464dc96808c
15363a1bb135
hex1e943106fc

131335259900 has 72 divisors (see below), whose sum is σ = 323074165680. Its totient is φ = 45940746240.

The previous prime is 131335259899. The next prime is 131335259917. The reversal of 131335259900 is 9952533131.

It is a super-3 number, since 3×1313352599003 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2633909 + ... + 2683308.

It is an arithmetic number, because the mean of its divisors is an integer number (4487141190).

Almost surely, 2131335259900 is an apocalyptic number.

131335259900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131335259900 is an abundant number, since it is smaller than the sum of its proper divisors (191738905780).

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

131335259900 is a wasteful number, since it uses less digits than its factorization.

131335259900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317263 (or 5317256 counting only the distinct ones).

The product of its (nonzero) digits is 109350, while the sum is 41.

The spelling of 131335259900 in words is "one hundred thirty-one billion, three hundred thirty-five million, two hundred fifty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 5317217 10634434 21268868 26586085 53172170 69123821 101027123 106344340 132930425 138247642 202054246 265860850 276495284 345619105 404108492 505135615 531721700 691238210 1010271230 1313352599 1382476420 1728095525 2020542460 2525678075 2626705198 3456191050 5051356150 5253410396 6566762995 6912382100 10102712300 13133525990 26267051980 32833814975 65667629950 131335259900