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12102201310131 = 331669872684219
BaseRepresentation
bin1011000000011100001101…
…1010001111101110110011
31120211221220012212120212000
42300013003122033232303
53041240302013411011
641423401410505043
72356232554554552
oct260070332175663
946757805776760
1012102201310131
113946573154879
1214355a2895183
1369a30429c0aa
142dba6d13bd99
1515ec15535356
hexb01c368fbb3

12102201310131 has 16 divisors (see below), whose sum is σ = 17929301174400. Its totient is φ = 8068082885064.

The previous prime is 12102201310127. The next prime is 12102201310139. The reversal of 12102201310131 is 13101310220121.

12102201310131 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 220 + 1 + 310 + 131 = 666.

It is not a de Polignac number, because 12102201310131 - 22 = 12102201310127 is a prime.

It is a super-2 number, since 2×121022013101312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102201310139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166540 + ... + 5850758.

It is an arithmetic number, because the mean of its divisors is an integer number (1120581323400).

Almost surely, 212102201310131 is an apocalyptic number.

12102201310131 is a deficient number, since it is larger than the sum of its proper divisors (5827099864269).

12102201310131 is a wasteful number, since it uses less digits than its factorization.

12102201310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851215 (or 2851209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12102201310131 its reverse (13101310220121), we get a palindrome (25203511530252).

The spelling of 12102201310131 in words is "twelve trillion, one hundred two billion, two hundred one million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 9 27 166987 500961 1502883 2684219 4508649 8052657 24157971 72473913 448229678153 1344689034459 4034067103377 12102201310131