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112000220112 = 243113715137967
BaseRepresentation
bin110100001001110111…
…0111011101111010000
3101201002111011200112110
41220103232323233100
53313334024020422
6123241401225320
711043320106654
oct1502356735720
9351074150473
10112000220112
1143554228090
1219858792240
13a73ba204c1
1455c6ad8a64
152da7a0060c
hex1a13bbbbd0

112000220112 has 160 divisors (see below), whose sum is σ = 326323113984. Its totient is φ = 32802624000.

The previous prime is 112000220107. The next prime is 112000220177. The reversal of 112000220112 is 211022000211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2930953 + ... + 2968919.

Almost surely, 2112000220112 is an apocalyptic number.

112000220112 is a gapful number since it is divisible by the number (12) 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 112000220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163161556992).

112000220112 is an abundant number, since it is smaller than the sum of its proper divisors (214322893872).

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

112000220112 is a wasteful number, since it uses less digits than its factorization.

112000220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38177 (or 38171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112000220112 its reverse (211022000211), we get a palindrome (323022220323).

The spelling of 112000220112 in words is "one hundred twelve billion, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 151 176 222 264 296 302 407 444 453 528 592 604 814 888 906 1208 1221 1628 1661 1776 1812 2416 2442 3256 3322 3624 4884 4983 5587 6512 6644 7248 9768 9966 11174 13288 16761 19536 19932 22348 26576 33522 37967 39864 44696 61457 67044 75934 79728 89392 113901 122914 134088 151868 184371 227802 245828 268176 303736 368742 417637 455604 491656 607472 737484 835274 911208 983312 1252911 1404779 1474968 1670548 1822416 2505822 2809558 2949936 3341096 4214337 5011644 5619116 5733017 6682192 8428674 10023288 11238232 11466034 15452569 16857348 17199051 20046576 22476464 22932068 30905138 33714696 34398102 45864136 46357707 61810276 63063187 67429392 68796204 91728272 92715414 123620552 126126374 137592408 185430828 189189561 212121629 247241104 252252748 275184816 370861656 378379122 424243258 504505496 636364887 741723312 756758244 848486516 1009010992 1272729774 1513516488 1696973032 2333337919 2545459548 3027032976 3393946064 4666675838 5090919096 7000013757 9333351676 10181838192 14000027514 18666703352 28000055028 37333406704 56000110056 112000220112