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13531135530 = 2351176153881
BaseRepresentation
bin11001001101000010…
…01011111000101010
31021221000012220102210
430212201023320222
5210202432314110
610114403105550
7656212516503
oct144641137052
937830186383
1013531135530
115813a78440
1227576722b6
131378438893
14925107baa
15542dba520
hex32684be2a

13531135530 has 64 divisors (see below), whose sum is σ = 35474184576. Its totient is φ = 3275904000.

The previous prime is 13531135523. The next prime is 13531135537. The reversal of 13531135530 is 3553113531.

It is an interprime number because it is at equal distance from previous prime (13531135523) and next prime (13531135537).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13531135537) 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, 224190 + ... + 278070.

It is an arithmetic number, because the mean of its divisors is an integer number (554284134).

Almost surely, 213531135530 is an apocalyptic number.

13531135530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531135530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737092288).

13531135530 is an abundant number, since it is smaller than the sum of its proper divisors (21943049046).

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

13531135530 is a wasteful number, since it uses less digits than its factorization.

13531135530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54663.

The product of its (nonzero) digits is 10125, while the sum is 30.

The spelling of 13531135530 in words is "thirteen billion, five hundred thirty-one million, one hundred thirty-five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 761 1522 2283 3805 4566 7610 8371 11415 16742 22830 25113 41855 50226 53881 83710 107762 125565 161643 251130 269405 323286 538810 592691 808215 1185382 1616430 1778073 2963455 3556146 5926910 8890365 17780730 41003441 82006882 123010323 205017205 246020646 410034410 451037851 615051615 902075702 1230103230 1353113553 2255189255 2706227106 4510378510 6765567765 13531135530