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102333000012 = 223171558332191
BaseRepresentation
bin101111101001110000…
…1011010100101001100
3100210010202121000121120
41133103201122211030
53134034222000022
6115002223200540
710251623101545
oct1372341324514
9323122530546
10102333000012
113a443346591
12179bb146150
13985ac6a219
144d4ac3d4cc
1529dde78d5c
hex17d385a94c

102333000012 has 48 divisors (see below), whose sum is σ = 252846784512. Its totient is φ = 32101413120.

The previous prime is 102332999999. The next prime is 102333000053. The reversal of 102333000012 is 210000333201.

It is a junction number, because it is equal to n+sod(n) for n = 102332999955 and 102333000000.

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 15 ways as a sum of consecutive naturals, for example, 3162837 + ... + 3195027.

It is an arithmetic number, because the mean of its divisors is an integer number (5267641344).

Almost surely, 2102333000012 is an apocalyptic number.

102333000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102333000012 is an abundant number, since it is smaller than the sum of its proper divisors (150513784500).

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

102333000012 is a wasteful number, since it uses less digits than its factorization.

102333000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47798 (or 47796 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102333000012 its reverse (210000333201), we get a palindrome (312333333213).

The spelling of 102333000012 in words is "one hundred two billion, three hundred thirty-three million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 15583 31166 32191 46749 62332 64382 93498 96573 128764 186996 193146 264911 386292 529822 547247 794733 1059644 1094494 1589466 1641741 2188988 3178932 3283482 6566964 501632353 1003264706 1504897059 2006529412 3009794118 6019588236 8527750001 17055500002 25583250003 34111000004 51166500006 102333000012