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13531200132 = 22319296473163
BaseRepresentation
bin11001001101000010…
…11011101010000100
31021221000100012001110
430212201123222010
5210202441401012
610114404325020
7656213206032
oct144641335204
937830305043
1013531200132
115814011a2a
1227576a3770
13137845c0c8
14925123552
15542dce73c
hex32685ba84

13531200132 has 96 divisors (see below), whose sum is σ = 34444569600. Its totient is φ = 4117986432.

The previous prime is 13531200101. The next prime is 13531200143. The reversal of 13531200132 is 23100213531.

It is a junction number, because it is equal to n+sod(n) for n = 13531200099 and 13531200108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4276383 + ... + 4279545.

It is an arithmetic number, because the mean of its divisors is an integer number (358797600).

Almost surely, 213531200132 is an apocalyptic number.

13531200132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13531200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17222284800).

13531200132 is an abundant number, since it is smaller than the sum of its proper divisors (20913369468).

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

13531200132 is a wasteful number, since it uses less digits than its factorization.

13531200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13531200132 its reverse (23100213531), we get a palindrome (36631413663).

The spelling of 13531200132 in words is "thirteen billion, five hundred thirty-one million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 348 551 647 1102 1294 1653 1941 2204 2588 3163 3306 3882 6326 6612 7764 9489 12293 12652 18763 18978 24586 36879 37526 37956 49172 56289 60097 73758 75052 91727 112578 120194 147516 180291 183454 225156 240388 275181 356497 360582 366908 550362 712994 721164 1069491 1100724 1425988 1742813 2046461 2138982 3485626 4092922 4277964 5228439 6139383 6971252 8185844 10456878 12278766 20913756 24557532 38882759 59347369 77765518 116648277 118694738 155531036 178042107 233296554 237389476 356084214 466593108 712168428 1127600011 2255200022 3382800033 4510400044 6765600066 13531200132