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101612456136 = 23321411284113
BaseRepresentation
bin101111010100010010…
…0110000100011001000
3100201021112202121020100
41132220210300203020
53131100242044021
6114402523325400
710225023424542
oct1365044604310
9321245677210
10101612456136
113a103645284
1217839980860
1397748b6cb9
144cbd278692
15299aa99626
hex17a89308c8

101612456136 has 24 divisors (see below), whose sum is σ = 275200402230. Its totient is φ = 33870818688.

The previous prime is 101612456131. The next prime is 101612456137. The reversal of 101612456136 is 631654216101.

101612456136 is a `hidden beast` number, since 1 + 0 + 1 + 61 + 2 + 4 + 561 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50990156100 + 50622300036 = 225810^2 + 224994^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101612456136.

It is not an unprimeable number, because it can be changed into a prime (101612456131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 705641985 + ... + 705642128.

Almost surely, 2101612456136 is an apocalyptic number.

It is an amenable number.

101612456136 is an abundant number, since it is smaller than the sum of its proper divisors (173587946094).

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

101612456136 is a wasteful number, since it uses less digits than its factorization.

101612456136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411284125 (or 1411284118 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 101612456136 in words is "one hundred one billion, six hundred twelve million, four hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1411284113 2822568226 4233852339 5645136452 8467704678 11290272904 12701557017 16935409356 25403114034 33870818712 50806228068 101612456136