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135585531 = 32101149159
BaseRepresentation
bin10000001010011…
…01111011111011
3100110010110101100
420011031323323
5234202214111
621242022443
73234313044
oct1005157373
9313113340
10135585531
116a597464
12394a7a23
1322122c33
14140158cb
15bd83756
hex814defb

135585531 has 12 divisors (see below), whose sum is σ = 197786160. Its totient is φ = 89494800.

The previous prime is 135585521. The next prime is 135585559.

135585531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135585531 - 210 = 135584507 is a prime.

It is a super-2 number, since 2×1355855312 = 36766872433103922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135585521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73671 + ... + 75488.

It is an arithmetic number, because the mean of its divisors is an integer number (16482180).

Almost surely, 2135585531 is an apocalyptic number.

135585531 is a deficient number, since it is larger than the sum of its proper divisors (62200629).

135585531 is a wasteful number, since it uses less digits than its factorization.

135585531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149266 (or 149263 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 135585531 is about 11644.1200182753. The cubic root of 135585531 is about 513.7333764845.

The spelling of 135585531 in words is "one hundred thirty-five million, five hundred eighty-five thousand, five hundred thirty-one".

Divisors: 1 3 9 101 303 909 149159 447477 1342431 15065059 45195177 135585531