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12102131013132 = 22317304119508113
BaseRepresentation
bin1011000000011011111100…
…1110000101011000001100
31120211221201022121010111110
42300012333032011120030
53041240131014410012
641423350420052020
72356231042213206
oct260067716053014
946757638533443
1012102131013132
113946537500686
121435583234010
1369a2c2858334
142dba63a7d776
1515ec0e29b73c
hexb01bf38560c

12102131013132 has 48 divisors (see below), whose sum is σ = 29909216125152. Its totient is φ = 3795498270720.

The previous prime is 12102131013103. The next prime is 12102131013139. The reversal of 12102131013132 is 23131013120121.

It is a super-2 number, since 2×121021310131322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12102131013099 and 12102131013108.

It is not an unprimeable number, because it can be changed into a prime (12102131013139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9133693 + ... + 10374420.

It is an arithmetic number, because the mean of its divisors is an integer number (623108669274).

Almost surely, 212102131013132 is an apocalyptic number.

12102131013132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12102131013132 is an abundant number, since it is smaller than the sum of its proper divisors (17807085112020).

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

12102131013132 is a wasteful number, since it uses less digits than its factorization.

12102131013132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511178 (or 19511176 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12102131013132 its reverse (23131013120121), we get a palindrome (35233144133253).

The spelling of 12102131013132 in words is "twelve trillion, one hundred two billion, one hundred thirty-one million, thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 3041 6082 9123 12164 18246 36492 51697 103394 155091 206788 310182 620364 19508113 39016226 58524339 78032452 117048678 234097356 331637921 663275842 994913763 1326551684 1989827526 3979655052 59324171633 118648343266 177972514899 237296686532 355945029798 711890059596 1008510917761 2017021835522 3025532753283 4034043671044 6051065506566 12102131013132