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10012040112 = 2431716773471
BaseRepresentation
bin10010101001100001…
…11001101110110000
3221211202102100001110
421110300321232300
5131001040240422
64333252433320
7503051636214
oct112460715660
927752370043
1010012040112
114278598a18
121b35018840
13c373447b9
146ad9b8944
153d8e8a60c
hex254c39bb0

10012040112 has 80 divisors (see below), whose sum is σ = 27550236672. Its totient is φ = 3122181120.

The previous prime is 10012040099. The next prime is 10012040113. The reversal of 10012040112 is 21104021001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10012040113) 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, 99537 + ... + 173007.

Almost surely, 210012040112 is an apocalyptic number.

10012040112 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 10012040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775118336).

10012040112 is an abundant number, since it is smaller than the sum of its proper divisors (17538196560).

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

10012040112 is a wasteful number, since it uses less digits than its factorization.

10012040112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73666 (or 73660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012040112 its reverse (21104021001), we get a palindrome (31116061113).

The spelling of 10012040112 in words is "ten billion, twelve million, forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 334 408 501 668 816 1002 1336 2004 2672 2839 4008 5678 8016 8517 11356 17034 22712 34068 45424 68136 73471 136272 146942 220413 293884 440826 587768 881652 1175536 1249007 1763304 2498014 3526608 3747021 4996028 7494042 9992056 12269657 14988084 19984112 24539314 29976168 36808971 49078628 59952336 73617942 98157256 147235884 196314512 208584169 294471768 417168338 588943536 625752507 834336676 1251505014 1668673352 2503010028 3337346704 5006020056 10012040112