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102131112012 = 22341271765991
BaseRepresentation
bin101111100011101111…
…1010001100001001100
3100202121200201001100020
41133013133101201030
53133131031041022
6114530212102140
710243622062026
oct1370737214114
9322550631306
10102131112012
113a34a3940a6
1217963604950
1398281a1777
144d2c0c9016
1529cb39a35c
hex17c77d184c

102131112012 has 48 divisors (see below), whose sum is σ = 245019393024. Its totient is φ = 33090768000.

The previous prime is 102131111987. The next prime is 102131112067. The reversal of 102131112012 is 210211131201.

It is a junction number, because it is equal to n+sod(n) for n = 102131111982 and 102131112000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249664 + ... + 516327.

It is an arithmetic number, because the mean of its divisors is an integer number (5104570688).

Almost surely, 2102131112012 is an apocalyptic number.

102131112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102131112012 is an abundant number, since it is smaller than the sum of its proper divisors (142888281012).

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

102131112012 is a wasteful number, since it uses less digits than its factorization.

102131112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766310 (or 766308 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 102131112012 its reverse (210211131201), we get a palindrome (312342243213).

The spelling of 102131112012 in words is "one hundred two billion, one hundred thirty-one million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 3252 11111 22222 33333 44444 66666 133332 765991 1531982 2297973 3063964 4595946 9191892 31405631 62811262 94216893 125622524 188433786 207583561 376867572 415167122 622750683 830334244 1245501366 2491002732 8510926001 17021852002 25532778003 34043704004 51065556006 102131112012