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113331131320 = 235112139168457
BaseRepresentation
bin110100110001100001…
…1111101001110111000
3101211112020111222111011
41221203003331032320
53324100232200240
6124021423243304
711121310502401
oct1514303751670
9354466458434
10113331131320
1144077518400
1219b6a449534
13a8c168c124
1456b17849a8
152e347996ea
hex1a630fd3b8

113331131320 has 96 divisors (see below), whose sum is σ = 282301916400. Its totient is φ = 40914593280.

The previous prime is 113331131297. The next prime is 113331131327. The reversal of 113331131320 is 23131133311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113331131291 and 113331131300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113331131327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588532 + ... + 756988.

Almost surely, 2113331131320 is an apocalyptic number.

113331131320 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 113331131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141150958200).

113331131320 is an abundant number, since it is smaller than the sum of its proper divisors (168970785080).

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

113331131320 is a wasteful number, since it uses less digits than its factorization.

113331131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168629 (or 168614 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113331131320 its reverse (23131133311), we get a palindrome (136462264631).

The spelling of 113331131320 in words is "one hundred thirteen billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5560 6116 7645 12232 15290 16819 30580 33638 61160 67276 84095 134552 168190 168457 336380 336914 672760 673828 842285 1347656 1684570 1853027 3369140 3706054 6738280 7412108 9265135 14824216 18530270 20383297 23415523 37060540 40766594 46831046 74121080 81533188 93662092 101916485 117077615 163066376 187324184 203832970 234155230 257570753 407665940 468310460 515141506 815331880 936620920 1030283012 1287853765 2060566024 2575707530 2833278283 5151415060 5666556566 10302830120 11333113132 14166391415 22666226264 28332782830 56665565660 113331131320