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12102131022213 = 319293976974177
BaseRepresentation
bin1011000000011011111100…
…1110000111100110000101
31120211221201022121120221210
42300012333032013212011
53041240131020202323
641423350420202033
72356231042251531
oct260067716074605
946757638546853
1012102131022213
113946537507491
121435583239319
1369a2c285c4cb
142dba63a82bc1
1515ec0e29e293
hexb01bf387985

12102131022213 has 32 divisors (see below), whose sum is σ = 17045392291200. Its totient is φ = 7616481878016.

The previous prime is 12102131022151. The next prime is 12102131022257. The reversal of 12102131022213 is 31222013120121.

12102131022213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12102131022213 - 213 = 12102131014021 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12102131022213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102131022013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163114981 + ... + 163189157.

It is an arithmetic number, because the mean of its divisors is an integer number (532668509100).

Almost surely, 212102131022213 is an apocalyptic number.

It is an amenable number.

12102131022213 is a deficient number, since it is larger than the sum of its proper divisors (4943261268987).

12102131022213 is a wasteful number, since it uses less digits than its factorization.

12102131022213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84261.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12102131022213 its reverse (31222013120121), we get a palindrome (43324144142334).

The spelling of 12102131022213 in words is "twelve trillion, one hundred two billion, one hundred thirty-one million, twenty-two thousand, two hundred thirteen".

Divisors: 1 3 19 57 293 879 5567 9769 16701 29307 74177 185611 222531 556833 1409363 2862317 4228089 8586951 21733861 54384023 65201583 163152069 412943359 724635113 1238830077 2173905339 13768067147 41304201441 212318088109 636954264327 4034043674071 12102131022213