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112210112011220 = 22531536315411717
BaseRepresentation
bin11001100000110111110011…
…110111011101101111010100
3112201022011220122012201012122
4121200313303313131233110
5104201422302133324340
61034352340330235112
732430625115613116
oct3140676367355724
9481264818181178
10112210112011220
113283204aa11943
12107030a3585a98
134a7c4a2acca92
141d9cdd98713b6
15ce8c9879adb5
hex660df3dddbd4

112210112011220 has 96 divisors (see below), whose sum is σ = 248224854398976. Its totient is φ = 42549075878400.

The previous prime is 112210112011201. The next prime is 112210112011279. The reversal of 112210112011220 is 22110211012211.

It is a super-3 number, since 3×1122101120112203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18028802 + ... + 23440518.

It is an arithmetic number, because the mean of its divisors is an integer number (2585675566656).

Almost surely, 2112210112011220 is an apocalyptic number.

112210112011220 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 112210112011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124112427199488).

112210112011220 is an abundant number, since it is smaller than the sum of its proper divisors (136014742387756).

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

112210112011220 is a wasteful number, since it uses less digits than its factorization.

112210112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412441 (or 5412439 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112210112011220 its reverse (22110211012211), we get a palindrome (134320323023431).

Subtracting from 112210112011220 its reverse (22110211012211), we obtain a palindrome (90099900999009).

The spelling of 112210112011220 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 155 212 265 310 530 620 631 1060 1262 1643 2524 3155 3286 6310 6572 8215 12620 16430 19561 32860 33443 39122 66886 78244 97805 133772 167215 195610 334430 391220 668860 1036733 2073466 4146932 5183665 5411717 10367330 10823434 20734660 21646868 27058585 54117170 108234340 167763227 286821001 335526454 573642002 671052908 838816135 1147284004 1434105005 1677632270 2868210010 3355264540 3414793427 5736420020 6829586854 8891451031 13659173708 17073967135 17782902062 34147934270 35565804124 44457255155 68295868540 88914510310 105858596237 177829020620 180984051631 211717192474 361968103262 423434384948 529292981185 723936206524 904920258155 1058585962370 1809840516310 2117171924740 3619681032620 5610505600561 11221011201122 22442022402244 28052528002805 56105056005610 112210112011220