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13530511134 = 2337151237053
BaseRepresentation
bin11001001100111101…
…10011011100011110
31021220222001011221000
430212132303130132
5210202302324014
610114341451130
7656204306220
oct144636633436
937828034830
1013530511134
115813691308
122757410aa6
13137827a60a
14924dc4410
15542ce5509
hex3267b371e

13530511134 has 64 divisors (see below), whose sum is σ = 34590919680. Its totient is φ = 3840242400.

The previous prime is 13530511133. The next prime is 13530511201. The reversal of 13530511134 is 43111503531.

It is a happy number.

13530511134 is a `hidden beast` number, since 13 + 5 + 3 + 0 + 511 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13530511098 and 13530511107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530511133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61449 + ... + 175604.

It is an arithmetic number, because the mean of its divisors is an integer number (540483120).

Almost surely, 213530511134 is an apocalyptic number.

13530511134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13530511134 is an abundant number, since it is smaller than the sum of its proper divisors (21060408546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13530511134 is a wasteful number, since it uses less digits than its factorization.

13530511134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237222 (or 237216 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13530511134 in words is "thirteen billion, five hundred thirty million, five hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 151 189 302 378 453 906 1057 1359 2114 2718 3171 4077 6342 8154 9513 19026 28539 57078 237053 474106 711159 1422318 1659371 2133477 3318742 4266954 4978113 6400431 9956226 12800862 14934339 29868678 35795003 44803017 71590006 89606034 107385009 214770018 250565021 322155027 501130042 644310054 751695063 966465081 1503390126 1932930162 2255085189 4510170378 6765255567 13530511134