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113013131220 = 223251125188849
BaseRepresentation
bin110100101000000011…
…0111000011111010100
3101210201002010220100200
41221100012320133110
53322422330144340
6123530103340500
711110366523403
oct1512006703724
9353632126320
10113013131220
1143a23a6a200
1219a9ba51730
13a87082b2a2
14568144763a
152e168d2330
hex1a501b87d4

113013131220 has 108 divisors (see below), whose sum is σ = 376803909300. Its totient is φ = 27397117440.

The previous prime is 113013131213. The next prime is 113013131291. The reversal of 113013131220 is 22131310311.

113013131220 is a `hidden beast` number, since 1 + 1 + 301 + 31 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70009984836 + 43003146384 = 264594^2 + 207372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113013131193 and 113013131202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2572645 + ... + 2616204.

Almost surely, 2113013131220 is an apocalyptic number.

113013131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113013131220 is an abundant number, since it is smaller than the sum of its proper divisors (263790778080).

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

113013131220 is a wasteful number, since it uses less digits than its factorization.

113013131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188886 (or 5188870 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113013131220 its reverse (22131310311), we get a palindrome (135144441531).

The spelling of 113013131220 in words is "one hundred thirteen billion, thirteen million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 5188849 10377698 15566547 20755396 25944245 31133094 46699641 51888490 57077339 62266188 77832735 93399282 103776980 114154678 155665470 171232017 186798564 228309356 233498205 285386695 311330940 342464034 466996410 513696051 570773390 627850729 684928068 856160085 933992820 1027392102 1141546780 1255701458 1712320170 1883552187 2054784204 2511402916 2568480255 3139253645 3424640340 3767104374 5136960510 5650656561 6278507290 7534208748 9417760935 10273921020 11301313122 12557014580 18835521870 22602626244 28253282805 37671043740 56506565610 113013131220