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136106901 = 32711511877
BaseRepresentation
bin10000001110011…
…01001110010101
3100111002221120100
420013031032111
5234320410101
621301124313
73241614060
oct1007151625
9314087510
10136106901
116a913147
12396b9699
1322276338
141410d8d7
15be37e86
hex81cd395

136106901 has 24 divisors (see below), whose sum is σ = 224999424. Its totient is φ = 77666400.

The previous prime is 136106851. The next prime is 136106903. The reversal of 136106901 is 109601631.

It is not a de Polignac number, because 136106901 - 218 = 135844757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136106903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71575 + ... + 73451.

It is an arithmetic number, because the mean of its divisors is an integer number (9374976).

Almost surely, 2136106901 is an apocalyptic number.

It is an amenable number.

136106901 is a deficient number, since it is larger than the sum of its proper divisors (88892523).

136106901 is a wasteful number, since it uses less digits than its factorization.

136106901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 136106901 is about 11666.4862319380. The cubic root of 136106901 is about 514.3910243007.

The spelling of 136106901 in words is "one hundred thirty-six million, one hundred six thousand, nine hundred one".

Divisors: 1 3 7 9 21 63 1151 1877 3453 5631 8057 10359 13139 16893 24171 39417 72513 118251 2160427 6481281 15122989 19443843 45368967 136106901