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135424531 = 1124723813
BaseRepresentation
bin10000001001001…
…10101000010011
3100102211021112101
420010212220103
5234132041111
621234341231
73233042464
oct1004465023
9312737471
10135424531
116a497500
123942a817
1322097878
1413db2d6b
15bd50bc1
hex8126a13

135424531 has 12 divisors (see below), whose sum is σ = 152028576. Its totient is φ = 120488720.

The previous prime is 135424489. The next prime is 135424547.

135424531 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-135424531 is a prime.

It is a super-2 number, since 2×1354245312 = 36679607193139922, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135424531.

It is not an unprimeable number, because it can be changed into a prime (135424561) 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, 6220 + ... + 17593.

It is an arithmetic number, because the mean of its divisors is an integer number (12669048).

Almost surely, 2135424531 is an apocalyptic number.

135424531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135424531 is a deficient number, since it is larger than the sum of its proper divisors (16604045).

135424531 is a wasteful number, since it uses less digits than its factorization.

135424531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23882 (or 23871 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 135424531 is about 11637.2046041994. The cubic root of 135424531 is about 513.5299530247.

The spelling of 135424531 in words is "one hundred thirty-five million, four hundred twenty-four thousand, five hundred thirty-one".

Divisors: 1 11 47 121 517 5687 23813 261943 1119211 2881373 12311321 135424531