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112231222320 = 24357149448351
BaseRepresentation
bin110100010000110000…
…0001000110000110000
3101201200120211210222210
41220201200020300300
53314322143103240
6123320332332120
711052123435540
oct1504140106060
9351616753883
10112231222320
11436626654a8
1219902014040
13a7778409b9
14560966b320
152dbce30780
hex1a21808c30

112231222320 has 160 divisors (see below), whose sum is σ = 400288665600. Its totient is φ = 25480627200.

The previous prime is 112231222307. The next prime is 112231222339. The reversal of 112231222320 is 23222132211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26145 + ... + 474495.

It is an arithmetic number, because the mean of its divisors is an integer number (2501804160).

Almost surely, 2112231222320 is an apocalyptic number.

112231222320 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 112231222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200144332800).

112231222320 is an abundant number, since it is smaller than the sum of its proper divisors (288057443280).

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

112231222320 is a wasteful number, since it uses less digits than its factorization.

112231222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448523 (or 448517 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 112231222320 its reverse (23222132211), we get a palindrome (135453354531).

The spelling of 112231222320 in words is "one hundred twelve billion, two hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 149 168 210 240 280 298 336 420 447 560 596 745 840 894 1043 1192 1490 1680 1788 2086 2235 2384 2980 3129 3576 4172 4470 5215 5960 6258 7152 8344 8940 10430 11920 12516 15645 16688 17880 20860 25032 31290 35760 41720 50064 62580 83440 125160 250320 448351 896702 1345053 1793404 2241755 2690106 3138457 3586808 4483510 5380212 6276914 6725265 7173616 8967020 9415371 10760424 12553828 13450530 15692285 17934040 18830742 21520848 25107656 26901060 31384570 35868080 37661484 47076855 50215312 53802120 62769140 66804299 75322968 94153710 107604240 125538280 133608598 150645936 188307420 200412897 251076560 267217196 334021495 376614840 400825794 467630093 534434392 668042990 753229680 801651588 935260186 1002064485 1068868784 1336085980 1402890279 1603303176 1870520372 2004128970 2338150465 2672171960 2805780558 3206606352 3741040744 4008257940 4676300930 5344343920 5611561116 7014451395 7482081488 8016515880 9352601860 11223122232 14028902790 16033031760 18705203720 22446244464 28057805580 37410407440 56115611160 112231222320