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112221100096 = 2675910739679
BaseRepresentation
bin110100010000011100…
…1100001100001000000
3101201122212210112220121
41220200321201201000
53314312100200341
6123315331350024
711051641416640
oct1504071414100
9351585715817
10112221100096
1143657981526
12198ba752314
13a775708611
145608194520
152dbc0d14d1
hex1a20e61840

112221100096 has 112 divisors (see below), whose sum is σ = 261240422400. Its totient is φ = 46836546048.

The previous prime is 112221100087. The next prime is 112221100177. The reversal of 112221100096 is 690001122211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 112221100096.

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, 2808385 + ... + 2848063.

Almost surely, 2112221100096 is an apocalyptic number.

112221100096 is a gapful number since it is divisible by the number (16) 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 112221100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130620211200).

112221100096 is an abundant number, since it is smaller than the sum of its proper divisors (149019322304).

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

112221100096 is a wasteful number, since it uses less digits than its factorization.

112221100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39864 (or 39854 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 112221100096 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 107 112 118 214 224 236 413 428 448 472 749 826 856 944 1498 1652 1712 1888 2996 3304 3424 3776 5992 6313 6608 6848 11984 12626 13216 23968 25252 26432 39679 44191 47936 50504 79358 88382 101008 158716 176764 202016 277753 317432 353528 404032 555506 634864 707056 1111012 1269728 1414112 2222024 2341061 2539456 2828224 4245653 4444048 4682122 8491306 8888096 9364244 16387427 16982612 17776192 18728488 29719571 32774854 33965224 37456976 59439142 65549708 67930448 74913952 118878284 131099416 135860896 149827904 237756568 250493527 262198832 271721792 475513136 500987054 524397664 951026272 1001974108 1048795328 1753454689 1902052544 2003948216 3506909378 4007896432 7013818756 8015792864 14027637512 16031585728 28055275024 56110550048 112221100096