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121310230101201 = 32233161691144843
BaseRepresentation
bin11011100101010010111101…
…001011000011110011010001
3120220112010220111212110210200
4123211102331023003303101
5111400021322401214301
61110001052251045413
734360242406244511
oct3345227513036321
9526463814773720
10121310230101201
113572041a382899
121173289a740869
13528c675aa791b
1421d5637157841
15e0585673bc86
hex6e54bd2c3cd1

121310230101201 has 96 divisors (see below), whose sum is σ = 191868789325824. Its totient is φ = 73622313072000.

The previous prime is 121310230101191. The next prime is 121310230101211. The reversal of 121310230101201 is 102101032013121.

121310230101201 is a `hidden beast` number, since 1 + 2 + 1 + 310 + 230 + 1 + 0 + 120 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (121310230101191) and next prime (121310230101211).

It is not a de Polignac number, because 121310230101201 - 235 = 121275870362833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121310230101211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2705198686 + ... + 2705243528.

It is an arithmetic number, because the mean of its divisors is an integer number (1998633222144).

Almost surely, 2121310230101201 is an apocalyptic number.

It is an amenable number.

121310230101201 is a deficient number, since it is larger than the sum of its proper divisors (70558559224623).

121310230101201 is a wasteful number, since it uses less digits than its factorization.

121310230101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51875 (or 51872 counting only the distinct ones).

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

Adding to 121310230101201 its reverse (102101032013121), we get a palindrome (223411262114322).

The spelling of 121310230101201 in words is "one hundred twenty-one trillion, three hundred ten billion, two hundred thirty million, one hundred one thousand, two hundred one".

Divisors: 1 3 9 23 31 61 69 93 183 207 279 549 713 1403 1891 2139 4209 5673 6417 6911 12627 17019 20733 43493 44843 62199 130479 134529 158953 214241 391437 403587 421571 476859 642723 1031389 1264713 1390133 1430577 1928169 2735423 3094167 3794139 4170399 4927543 8206269 9282501 9696133 12511197 13068701 14782629 24618807 29088399 31973059 39206103 44347887 62914729 84798113 87265197 95919177 117618309 188744187 254394339 287757531 300580123 309909973 566232561 763183017 901740369 929729919 1950356599 2705221107 2789189757 5851069797 7127929379 9607209163 17553209391 18904508353 21383788137 28821627489 56713525059 64151364411 86464882467 170140575177 220965810749 434803692119 586039758943 662897432247 1304411076357 1758119276829 1988692296741 3913233229071 5274357830487 13478914455689 40436743367067 121310230101201