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12265100136 = 233356782871
BaseRepresentation
bin10110110110000111…
…01001001101101000
31011122202221122101000
423123003221031220
5200104331201021
65345015355000
7612640426302
oct133303511550
934582848330
1012265100136
1152243692a3
122463682a60
131206063303
14844d08972
154bbb88b26
hex2db0e9368

12265100136 has 32 divisors (see below), whose sum is σ = 34069723200. Its totient is φ = 4088366640.

The previous prime is 12265100101. The next prime is 12265100137. The reversal of 12265100136 is 63100156221.

12265100136 is a `hidden beast` number, since 1 + 2 + 2 + 651 + 0 + 0 + 1 + 3 + 6 = 666.

12265100136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122651001362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12265100137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28391220 + ... + 28391651.

It is an arithmetic number, because the mean of its divisors is an integer number (1064678850).

Almost surely, 212265100136 is an apocalyptic number.

It is an amenable number.

12265100136 is an abundant number, since it is smaller than the sum of its proper divisors (21804623064).

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

12265100136 is a wasteful number, since it uses less digits than its factorization.

12265100136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56782886 (or 56782876 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 12265100136 its reverse (63100156221), we get a palindrome (75365256357).

The spelling of 12265100136 in words is "twelve billion, two hundred sixty-five million, one hundred thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 56782871 113565742 170348613 227131484 340697226 454262968 511045839 681394452 1022091678 1362788904 1533137517 2044183356 3066275034 4088366712 6132550068 12265100136