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112033031220 = 223251125143849
BaseRepresentation
bin110100001010110110…
…0000110010000110100
3101201011202220122220200
41220111230012100310
53313420423444340
6123244532400500
711044166024115
oct1502554062064
9351152818820
10112033031220
11435707a8600
1219867776130
13a74576ab66
1455cb1da20c
152daa832330
hex1a15b06434

112033031220 has 108 divisors (see below), whose sum is σ = 373536099300. Its totient is φ = 27159517440.

The previous prime is 112033031203. The next prime is 112033031263. The reversal of 112033031220 is 22130330211.

112033031220 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 330 + 312 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89428510116 + 22604521104 = 299046^2 + 150348^2 .

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 = 112033031193 and 112033031202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2550145 + ... + 2593704.

Almost surely, 2112033031220 is an apocalyptic number.

112033031220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112033031220 is an abundant number, since it is smaller than the sum of its proper divisors (261503068080).

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

112033031220 is a wasteful number, since it uses less digits than its factorization.

112033031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143886 (or 5143870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 112033031220 its reverse (22130330211), we get a palindrome (134163361431).

The spelling of 112033031220 in words is "one hundred twelve billion, thirty-three million, 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 5143849 10287698 15431547 20575396 25719245 30863094 46294641 51438490 56582339 61726188 77157735 92589282 102876980 113164678 154315470 169747017 185178564 226329356 231473205 282911695 308630940 339494034 462946410 509241051 565823390 622405729 678988068 848735085 925892820 1018482102 1131646780 1244811458 1697470170 1867217187 2036964204 2489622916 2546205255 3112028645 3394940340 3734434374 5092410510 5601651561 6224057290 7468868748 9336085935 10184821020 11203303122 12448114580 18672171870 22406606244 28008257805 37344343740 56016515610 112033031220