Search a number
-
+
102332112012 = 223213218658359
BaseRepresentation
bin101111101001101111…
…0000001110010001100
3100210010200220220111200
41133103132001302030
53134034010041022
6115002152145500
710251612412614
oct1372336016214
9323120826450
10102332112012
113a44289a3a9
12179ba998290
13985aa18c90
144d4aa8ba44
1529ddd50bac
hex17d3781c8c

102332112012 has 36 divisors (see below), whose sum is σ = 278570750640. Its totient is φ = 31486803552.

The previous prime is 102332112007. The next prime is 102332112023. The reversal of 102332112012 is 210211233201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1023321120122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109328712 + ... + 109329647.

Almost surely, 2102332112012 is an apocalyptic number.

102332112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102332112012 is an abundant number, since it is smaller than the sum of its proper divisors (176238638628).

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

102332112012 is a wasteful number, since it uses less digits than its factorization.

102332112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218658382 (or 218658377 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102332112012 its reverse (210211233201), we get a palindrome (312543345213).

The spelling of 102332112012 in words is "one hundred two billion, three hundred thirty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 218658359 437316718 655975077 874633436 1311950154 1967925231 2623900308 2842558667 3935850462 5685117334 7871700924 8527676001 11370234668 17055352002 25583028003 34110704004 51166056006 102332112012