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131120235513225 = 32527214993872317
BaseRepresentation
bin11101110100000011001111…
…000011111000010110001001
3122012020222020122202122011100
4131310003033003320112021
5114141233220242410400
61142511445444452013
736422060445360420
oct3564031703702611
9565228218678140
10131120235513225
1138862863716872
1212857b916aa009
13582177b77790a
142454378d362b7
151025b117d7100
hex7740cf0f8589

131120235513225 has 72 divisors (see below), whose sum is σ = 268413594488000. Its totient is φ = 59937875544960.

The previous prime is 131120235513203. The next prime is 131120235513251. The reversal of 131120235513225 is 522315532021131.

131120235513225 is a `hidden beast` number, since 1 + 3 + 11 + 20 + 23 + 551 + 32 + 25 = 666.

It is not a de Polignac number, because 131120235513225 - 28 = 131120235512969 is a prime.

It is a super-2 number, since 2×1311202355132252 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131120235513225.

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 71 ways as a sum of consecutive naturals, for example, 31924767 + ... + 35797083.

Almost surely, 2131120235513225 is an apocalyptic number.

131120235513225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131120235513225 is an abundant number, since it is smaller than the sum of its proper divisors (137293358974775).

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

131120235513225 is a wasteful number, since it uses less digits than its factorization.

131120235513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893839 (or 3893831 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 131120235513225 its reverse (522315532021131), we get a palindrome (653435767534356).

The spelling of 131120235513225 in words is "one hundred thirty-one trillion, one hundred twenty billion, two hundred thirty-five million, five hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 21499 64497 107495 150493 193491 322485 451479 537475 752465 967455 1354437 1612425 2257395 3762325 3872317 4837275 6772185 11286975 11616951 19361585 27106219 33860925 34850853 58084755 81318657 96807925 135531095 174254265 243955971 290423775 406593285 677655475 871271325 1219779855 2032966425 6098899275 83250943183 249752829549 416254715915 582756602281 749258488647 1248764147745 1748269806843 2081273579575 2913783011405 3746292443235 5244809420529 6243820738725 8741349034215 14568915057025 18731462216175 26224047102645 43706745171075 131120235513225