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10056011112 = 233376650801
BaseRepresentation
bin10010101110110001…
…01000110101101000
3221221211011021221000
421113120220311220
5131043314323422
64341503115000
7504124453440
oct112730506550
927854137830
1010056011112
1142a03a0a94
121b478a2a60
13c4349b944
146b5783120
153dcc73cac
hex257628d68

10056011112 has 64 divisors (see below), whose sum is σ = 31923849600. Its totient is φ = 2873145600.

The previous prime is 10056011093. The next prime is 10056011113. The reversal of 10056011112 is 21111065001.

It is a happy number.

10056011112 is a `hidden beast` number, since 100 + 560 + 1 + 1 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×100560111122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10056011113) 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, 3323889 + ... + 3326912.

It is an arithmetic number, because the mean of its divisors is an integer number (498810150).

Almost surely, 210056011112 is an apocalyptic number.

10056011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10056011112 is an abundant number, since it is smaller than the sum of its proper divisors (21867838488).

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

10056011112 is a wasteful number, since it uses less digits than its factorization.

10056011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6650823 (or 6650813 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 10056011112 its reverse (21111065001), we get a palindrome (31167076113).

The spelling of 10056011112 in words is "ten billion, fifty-six million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6650801 13301602 19952403 26603204 39904806 46555607 53206408 59857209 79809612 93111214 119714418 139666821 159619224 179571627 186222428 239428836 279333642 359143254 372444856 419000463 478857672 558667284 718286508 838000926 1117334568 1257001389 1436573016 1676001852 2514002778 3352003704 5028005556 10056011112