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135707346117 = 3272154084859
BaseRepresentation
bin111111001100011001…
…0011100010011000101
3110222021200022110122100
41332120302130103011
54210412040033432
6142202035222313
712542645260260
oct1763062342305
9428250273570
10135707346117
115260a293802
1222374147999
13ca49445405
1467d5497cd7
1537e3e3e07c
hex1f98c9c4c5

135707346117 has 12 divisors (see below), whose sum is σ = 224024825440. Its totient is φ = 77547054888.

The previous prime is 135707346091. The next prime is 135707346143. The reversal of 135707346117 is 711643707531.

135707346117 is a `hidden beast` number, since 1 + 3 + 570 + 7 + 3 + 4 + 61 + 17 = 666.

It is an interprime number because it is at equal distance from previous prime (135707346091) and next prime (135707346143).

It is not a de Polignac number, because 135707346117 - 212 = 135707342021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135707346167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077042367 + ... + 1077042492.

Almost surely, 2135707346117 is an apocalyptic number.

It is an amenable number.

135707346117 is a deficient number, since it is larger than the sum of its proper divisors (88317479323).

135707346117 is a wasteful number, since it uses less digits than its factorization.

135707346117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154084872 (or 2154084869 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 135707346117 in words is "one hundred thirty-five billion, seven hundred seven million, three hundred forty-six thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 63 2154084859 6462254577 15078594013 19386763731 45235782039 135707346117