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12102113982 = 2372200320551
BaseRepresentation
bin10110100010101011…
…11001101010111110
31011020102021002101210
423101111321222332
5144241120121412
65320514145250
7605621162100
oct132125715276
934212232353
1012102113982
1151503673a2
122418b82226
1311ab3685ba
1482b3dd570
154ac6e183c
hex2d1579abe

12102113982 has 48 divisors (see below), whose sum is σ = 28171366272. Its totient is φ = 3455852400.

The previous prime is 12102113981. The next prime is 12102113993. The reversal of 12102113982 is 28931120121.

It is a super-2 number, since 2×121021139822 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102113981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 578607 + ... + 599157.

It is an arithmetic number, because the mean of its divisors is an integer number (586903464).

Almost surely, 212102113982 is an apocalyptic number.

12102113982 is an abundant number, since it is smaller than the sum of its proper divisors (16069252290).

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

12102113982 is a wasteful number, since it uses less digits than its factorization.

12102113982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22573 (or 22566 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 12102113982 in words is "twelve billion, one hundred two million, one hundred thirteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 2003 4006 6009 12018 14021 20551 28042 41102 42063 61653 84126 98147 123306 143857 196294 287714 294441 431571 588882 863142 1006999 2013998 3020997 6041994 41163653 82327306 123490959 246981918 288145571 576291142 864436713 1728873426 2017018997 4034037994 6051056991 12102113982