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112120203113022 = 231319757953910477
BaseRepresentation
bin11001011111100100000100…
…111000001111001000111110
3112200222120211201202110021010
4121133210010320033020332
5104143434133444104042
61034243151002420050
732421263103601356
oct3137440470171076
9480876751673233
10112120203113022
11327a7a027649a5
12106a9791201626
134a73b74b270c0
141d9890aac9b66
15ce678541759c
hex65f904e0f23e

112120203113022 has 128 divisors (see below), whose sum is σ = 254586430425600. Its totient is φ = 32633101380096.

The previous prime is 112120203112993. The next prime is 112120203113047. The reversal of 112120203113022 is 220311302021211.

It is a super-2 number, since 2×1121202031130222 (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 112120203113022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10701550848 + ... + 10701561324.

It is an arithmetic number, because the mean of its divisors is an integer number (1988956487700).

Almost surely, 2112120203113022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120203113022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127293215212800).

112120203113022 is an abundant number, since it is smaller than the sum of its proper divisors (142466227312578).

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

112120203113022 is a wasteful number, since it uses less digits than its factorization.

112120203113022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20810.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 112120203113022 its reverse (220311302021211), we get a palindrome (332431505134233).

The spelling of 112120203113022 in words is "one hundred twelve trillion, one hundred twenty billion, two hundred three million, one hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 757 1482 1514 2271 4542 9539 9841 10477 14383 19078 19682 20954 28617 28766 29523 31431 43149 57234 59046 62862 86298 124007 136201 181241 186979 199063 248014 272402 362482 372021 373958 398126 408603 543723 560937 597189 744042 817206 1087446 1121874 1194378 2356133 2587819 4712266 5175638 7068399 7221023 7763457 7931089 14136798 14442046 15526914 15862178 21663069 23793267 43326138 47586534 93873299 99940103 103104157 137199437 150690691 187746598 199880206 206208314 274398874 281619897 299820309 301381382 309312471 411598311 452072073 563239794 599640618 618624942 823196622 904144146 1299221339 1783592681 1898861957 1958978983 2598442678 3567185362 3797723914 3897664017 3917957966 5350778043 5696585871 5876936949 7795328034 10701556086 11393171742 11753873898 24685205441 49370410882 74055616323 75654657971 148111232646 151309315942 226963973913 453927947826 983510553623 1437438501449 1967021107246 2874877002898 2950531660869 4312315504347 5901063321738 8624631008694 18686700518837 37373401037674 56060101556511 112120203113022