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12032100212313 = 3198915150930859
BaseRepresentation
bin1010111100010111000100…
…0011110001111001011001
31120121020221202021211211210
42233011301003301321121
53034113220123243223
641331245345013333
72351201442221226
oct257056103617131
946536852254753
1012032100212313
11391986a991495
121423a9a024249
13693811c1835c
142d84dcd2a94d
1515ceb1104893
hexaf1710f1e59

12032100212313 has 64 divisors (see below), whose sum is σ = 17224323840000. Its totient is φ = 7449170572800.

The previous prime is 12032100212287. The next prime is 12032100212329. The reversal of 12032100212313 is 31321200123021.

It is not a de Polignac number, because 12032100212313 - 28 = 12032100212057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12032100212313.

It is not an unprimeable number, because it can be changed into a prime (12032100212813) 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 63 ways as a sum of consecutive naturals, for example, 389890278 + ... + 389921136.

It is an arithmetic number, because the mean of its divisors is an integer number (269130060000).

Almost surely, 212032100212313 is an apocalyptic number.

It is an amenable number.

12032100212313 is a deficient number, since it is larger than the sum of its proper divisors (5192223627687).

12032100212313 is a wasteful number, since it uses less digits than its factorization.

12032100212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31630.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12032100212313 its reverse (31321200123021), we get a palindrome (43353300335334).

The spelling of 12032100212313 in words is "twelve trillion, thirty-two billion, one hundred million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 19 57 89 151 267 453 509 1527 1691 2869 5073 8607 9671 13439 29013 30859 40317 45301 76859 92577 135903 230577 255341 586321 766023 860719 1460321 1758963 2582157 2746451 4380963 4659709 6840451 8239353 13979127 15707231 20521353 47121693 52182569 88534471 129968569 156547707 265603413 298437389 389905707 414714101 895312167 1244142303 1397943559 2371791881 4193830677 7115375643 7879567919 23638703757 26560927621 45064045739 79682782863 135192137217 211089477409 633268432227 4010700070771 12032100212313