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112022332032 = 2731389252139
BaseRepresentation
bin110100001010100001…
…1010010001010000000
3101201011000210002101110
41220111003102022000
53313410204111112
6123243511203320
711044006053132
oct1502503221200
9351130702343
10112022332032
11435657600a6
1219864076540
13a743492c90
1455c9a13052
152da991c13c
hex1a150d2280

112022332032 has 128 divisors (see below), whose sum is σ = 324050328000. Its totient is φ = 34080989184.

The previous prime is 112022331991. The next prime is 112022332043. The reversal of 112022332032 is 230233220211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318219 + ... + 570357.

Almost surely, 2112022332032 is an apocalyptic number.

112022332032 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 112022332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162025164000).

112022332032 is an abundant number, since it is smaller than the sum of its proper divisors (212027995968).

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

112022332032 is a wasteful number, since it uses less digits than its factorization.

112022332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252258 (or 252246 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 112022332032 its reverse (230233220211), we get a palindrome (342255552243).

The spelling of 112022332032 in words is "one hundred twelve billion, twenty-two million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 178 192 208 267 312 356 384 416 534 624 712 832 1068 1157 1248 1424 1664 2136 2314 2496 2848 3471 4272 4628 4992 5696 6942 8544 9256 11392 13884 17088 18512 27768 34176 37024 55536 74048 111072 148096 222144 252139 444288 504278 756417 1008556 1512834 2017112 3025668 3277807 4034224 6051336 6555614 8068448 9833421 12102672 13111228 16136896 19666842 22440371 24205344 26222456 32273792 39333684 44880742 48410688 52444912 67321113 78667368 89761484 96821376 104889824 134642226 157334736 179522968 209779648 269284452 291724823 314669472 359045936 419559296 538568904 583449646 629338944 718091872 875174469 1077137808 1166899292 1258677888 1436183744 1750348938 2154275616 2333798584 2872367488 3500697876 4308551232 4667597168 7001395752 8617102464 9335194336 14002791504 18670388672 28005583008 37340777344 56011166016 112022332032