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22013113130112 = 2731331142247681
BaseRepresentation
bin1010000000101010100111…
…10010011101110010000000
32212221102200200222101102110
411000111103302131302000
510341130323430130422
6114452403511015320
74431252315213666
oct500252362356200
985842620871373
1022013113130112
117017788532635
12257635706a540
13c38a9b4a9aa0
145616244c4c36
152829291b060c
hex140553c9dc80

22013113130112 has 128 divisors (see below), whose sum is σ = 65001500766720. Its totient is φ = 6554773094400.

The previous prime is 22013113130093. The next prime is 22013113130131. The reversal of 22013113130112 is 21103131131022.

It is an interprime number because it is at equal distance from previous prime (22013113130093) and next prime (22013113130131).

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

It is a super-2 number, since 2×220131131301122 (a number of 27 digits) contains 22 as substring.

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, 70969089 + ... + 71278592.

It is an arithmetic number, because the mean of its divisors is an integer number (507824224740).

Almost surely, 222013113130112 is an apocalyptic number.

It is an amenable number.

22013113130112 is an abundant number, since it is smaller than the sum of its proper divisors (42988387636608).

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

22013113130112 is a wasteful number, since it uses less digits than its factorization.

22013113130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142247742 (or 142247730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 22013113130112 its reverse (21103131131022), we get a palindrome (43116244261134).

The spelling of 22013113130112 in words is "twenty-two trillion, thirteen billion, one hundred thirteen million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4836 4992 5952 6448 9672 11904 12896 19344 25792 38688 51584 77376 154752 142247681 284495362 426743043 568990724 853486086 1137981448 1706972172 1849219853 2275962896 3413944344 3698439706 4409678111 4551925792 5547659559 6827888688 7396879412 8819356222 9103851584 11095319118 13229034333 13655777376 14793758824 17638712444 18207703168 22190638236 26458068666 27311554752 29587517648 35277424888 44381276472 52916137332 54623109504 57325815443 59175035296 70554849776 88762552944 105832274664 114651630886 118350070592 141109699552 171977446329 177525105888 211664549328 229303261772 236700141184 282219399104 343954892658 355050211776 423329098656 458606523544 564438798208 687909785316 710100423552 846658197312 917213047088 1375819570632 1693316394624 1834426094176 2751639141264 3668852188352 5503278282528 7337704376704 11006556565056 22013113130112