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136105122627 = 32281327116453
BaseRepresentation
bin111111011000001111…
…1110101101101000011
3111000022101210121102200
41332300133311231003
54212220402411002
6142305325044243
712555545311455
oct1766037655503
9430271717380
10136105122627
11527a3880121
12224653b6683
13cab0988926
1468322402d5
153818d13b1c
hex1fb07f5b43

136105122627 has 24 divisors (see below), whose sum is σ = 197368231008. Its totient is φ = 90380707200.

The previous prime is 136105122619. The next prime is 136105122661. The reversal of 136105122627 is 726221501631.

136105122627 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 0 + 5 + 1 + 22 + 627 = 666.

It is not a de Polignac number, because 136105122627 - 23 = 136105122619 is a prime.

It is a super-2 number, since 2×1361051226272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136105122591 and 136105122600.

It is not an unprimeable number, because it can be changed into a prime (136105122227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8264133 + ... + 8280585.

It is an arithmetic number, because the mean of its divisors is an integer number (8223676292).

Almost surely, 2136105122627 is an apocalyptic number.

136105122627 is a deficient number, since it is larger than the sum of its proper divisors (61263108381).

136105122627 is a wasteful number, since it uses less digits than its factorization.

136105122627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20011 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 136105122627 in words is "one hundred thirty-six billion, one hundred five million, one hundred twenty-two thousand, six hundred twenty-seven".

Divisors: 1 3 9 281 843 2529 3271 9813 16453 29439 49359 148077 919151 2757453 4623293 8272359 13869879 41609637 53817763 161453289 484359867 15122791403 45368374209 136105122627