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102112112112 = 24310919516841
BaseRepresentation
bin101111100011001011…
…0110010110111110000
3100202120100221202101020
41133012112302313300
53133111200041422
6114524252535440
710243301426523
oct1370626626760
9322510852336
10102112112112
113a33a6971aa
1217959181580
13982427b61a
144d29780bba
1529c989595c
hex17c65b2df0

102112112112 has 40 divisors (see below), whose sum is σ = 266209724880. Its totient is φ = 33725099520.

The previous prime is 102112112033. The next prime is 102112112153. The reversal of 102112112112 is 211211211201.

Adding to 102112112112 its reverse (211211211201), we get a palindrome (313323323313).

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102112112091 and 102112112100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9753189 + ... + 9763652.

It is an arithmetic number, because the mean of its divisors is an integer number (6655243122).

Almost surely, 2102112112112 is an apocalyptic number.

102112112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112112112 is an abundant number, since it is smaller than the sum of its proper divisors (164097612768).

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

102112112112 is a wasteful number, since it uses less digits than its factorization.

102112112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19516961 (or 19516955 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

The spelling of 102112112112 in words is "one hundred two billion, one hundred twelve million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 19516841 39033682 58550523 78067364 117101046 156134728 234202092 312269456 468404184 936808368 2127335669 4254671338 6382007007 8509342676 12764014014 17018685352 25528028028 34037370704 51056056056 102112112112