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112312220112320 = 2651093259988021
BaseRepresentation
bin11001100010010110111001…
…111110111101010111000000
3112201122221110201121200111212
4121202112321332331113000
5104210110411322043240
61034511304401225252
732441201341266014
oct3142267176752700
9481587421550455
10112312220112320
1132871388309558
121071aa3b332228
134a88cc62a5807
141da3d2488a544
15ceb772aed165
hex6625b9fbd5c0

112312220112320 has 112 divisors (see below), whose sum is σ = 269980173170400. Its totient is φ = 44499029667840.

The previous prime is 112312220112319. The next prime is 112312220112329. The reversal of 112312220112320 is 23211022213211.

It is a super-2 number, since 2×1123122201123202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312220112329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113179910 + ... + 114167930.

It is an arithmetic number, because the mean of its divisors is an integer number (2410537260450).

Almost surely, 2112312220112320 is an apocalyptic number.

112312220112320 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 112312220112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134990086585200).

112312220112320 is an abundant number, since it is smaller than the sum of its proper divisors (157667953058080).

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

112312220112320 is a wasteful number, since it uses less digits than its factorization.

112312220112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991406 (or 991396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 112312220112320 its reverse (23211022213211), we get a palindrome (135523242325531).

The spelling of 112312220112320 in words is "one hundred twelve trillion, three hundred twelve billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3259 3488 4360 6518 6976 8720 13036 16295 17440 26072 32590 34880 52144 65180 104288 130360 208576 260720 355231 521440 710462 988021 1042880 1420924 1776155 1976042 2841848 3552310 3952084 4940105 5683696 7104620 7904168 9880210 11367392 14209240 15808336 19760420 22734784 28418480 31616672 39520840 56836960 63233344 79041680 107694289 113673920 158083360 215388578 316166720 430777156 538471445 861554312 1076942890 1723108624 2153885780 3219960439 3446217248 4307771560 6439920878 6892434496 8615543120 12879841756 16099802195 17231086240 25759683512 32199604390 34462172480 51519367024 64399208780 103038734048 128798417560 206077468096 257596835120 350975687851 515193670240 701951375702 1030387340480 1403902751404 1754878439255 2807805502808 3509756878510 5615611005616 7019513757020 11231222011232 14039027514040 22462444022464 28078055028080 56156110056160 112312220112320