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13160860284100 = 2252232157732
BaseRepresentation
bin1011111110000100000001…
…1001101111010011000100
31201121011110222111122012111
42333201000121233103010
53211111420213042400
643554003222430404
72525561246430454
oct277410031572304
951534428448174
1013160860284100
114214542589051
1215867b5592404
137460aa224289
14336dbbcb7d64
1517c5269083ba
hexbf84066f4c4

13160860284100 has 81 divisors (see below), whose sum is σ = 29856645163303. Its totient is φ = 5035140341440.

The previous prime is 13160860284073. The next prime is 13160860284113. The reversal of 13160860284100 is 148206806131.

The square root of 13160860284100 is 3627790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 40353577924 + 13120506706176 = 200882^2 + 3622224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 834383814 + ... + 834399586.

Almost surely, 213160860284100 is an apocalyptic number.

13160860284100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13160860284100 is the 3627790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13160860284100

13160860284100 is an abundant number, since it is smaller than the sum of its proper divisors (16695784879203).

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

13160860284100 is an frugal number, since it uses more digits than its factorization.

13160860284100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31606 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 13160860284100 in words is "thirteen trillion, one hundred sixty billion, eight hundred sixty million, two hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 5290 10580 13225 15773 26450 31546 52900 63092 78865 157730 315460 362779 394325 725558 788650 1451116 1577300 1813895 3627790 7255580 8343917 9069475 16687834 18138950 33375668 36277900 41719585 83439170 166878340 208597925 248787529 417195850 497575058 834391700 995150116 1243937645 2487875290 4975750580 5722113167 6219688225 11444226334 12439376450 22888452668 24878752900 28610565835 57221131670 114442263340 131608602841 143052829175 263217205682 286105658350 526434411364 572211316700 658043014205 1316086028410 2632172056820 3290215071025 6580430142050 13160860284100