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13530131360 = 255174974313
BaseRepresentation
bin11001001100111010…
…10110101110100000
31021220221022212222022
430212131112232200
5210202203200420
610114325401012
7656201135054
oct144635265640
937827285868
1013530131360
115813451a49
122757269168
1313781767b5
14924d25c64
15542c6cc25
hex326756ba0

13530131360 has 48 divisors (see below), whose sum is σ = 33845232456. Its totient is φ = 5093695488.

The previous prime is 13530131359. The next prime is 13530131387. The reversal of 13530131360 is 6313103531.

It is a happy number.

13530131360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13443938704 + 86192656 = 115948^2 + 9284^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2484437 + ... + 2489876.

Almost surely, 213530131360 is an apocalyptic number.

13530131360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13530131360 is an abundant number, since it is smaller than the sum of its proper divisors (20315101096).

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

13530131360 is a wasteful number, since it uses less digits than its factorization.

13530131360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974345 (or 4974337 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 13530131360 its reverse (6313103531), we get a palindrome (19843234891).

It can be divided in two parts, 135301 and 31360, that added together give a palindrome (166661).

The spelling of 13530131360 in words is "thirteen billion, five hundred thirty million, one hundred thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4974313 9948626 19897252 24871565 39794504 49743130 79589008 84563321 99486260 159178016 169126642 198972520 338253284 397945040 422816605 676506568 795890080 845633210 1353013136 1691266420 2706026272 3382532840 6765065680 13530131360