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13011032232 = 23321121493461
BaseRepresentation
bin11000001111000010…
…01001100010101000
31020120202112220211200
430013201021202220
5203121311012412
65551023324200
7640265643402
oct140741114250
936522486750
1013011032232
115577430100
122631450660
1312c4765353
148b5ddbb72
155123d09dc
hex3078498a8

13011032232 has 72 divisors (see below), whose sum is σ = 38732936970. Its totient is φ = 3942734400.

The previous prime is 13011032191. The next prime is 13011032239. The reversal of 13011032232 is 23223011031.

13011032232 is a `hidden beast` number, since 1 + 301 + 10 + 322 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11873589156 + 1137443076 = 108966^2 + 33726^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13011032239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 738019 + ... + 755442.

Almost surely, 213011032232 is an apocalyptic number.

13011032232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13011032232 is an abundant number, since it is smaller than the sum of its proper divisors (25721904738).

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

13011032232 is a wasteful number, since it uses less digits than its factorization.

13011032232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493495 (or 1493477 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13011032232 its reverse (23223011031), we get a palindrome (36234043263).

The spelling of 13011032232 in words is "thirteen billion, eleven million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 1493461 2986922 4480383 5973844 8960766 11947688 13441149 16428071 17921532 26882298 32856142 35843064 49284213 53764596 65712284 98568426 107529192 131424568 147852639 180708781 197136852 295705278 361417562 394273704 542126343 591410556 722835124 1084252686 1182821112 1445670248 1626379029 2168505372 3252758058 4337010744 6505516116 13011032232