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13121660205 = 3451719372711
BaseRepresentation
bin11000011100001110…
…01010010100101101
31020212110201101220000
430032013022110231
5203333121111310
610010014414513
7643111162053
oct141607122455
936773641800
1013121660205
115623920585
122662501439
13131165a4a4
148c69981d3
1551be844c0
hex30e1ca52d

13121660205 has 160 divisors (see below), whose sum is σ = 26934716160. Its totient is φ = 6069012480.

The previous prime is 13121660197. The next prime is 13121660221. The reversal of 13121660205 is 50206612131.

13121660205 is a `hidden beast` number, since 1 + 31 + 21 + 6 + 602 + 0 + 5 = 666.

It is not a de Polignac number, because 13121660205 - 23 = 13121660197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4838800 + ... + 4841510.

It is an arithmetic number, because the mean of its divisors is an integer number (168341976).

Almost surely, 213121660205 is an apocalyptic number.

13121660205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13121660205 is an abundant number, since it is smaller than the sum of its proper divisors (13813055955).

13121660205 is a wasteful number, since it uses less digits than its factorization.

13121660205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13121660205 in words is "thirteen billion, one hundred twenty-one million, six hundred sixty thousand, two hundred five".

Divisors: 1 3 5 9 15 17 19 27 37 45 51 57 81 85 95 111 135 153 171 185 255 285 323 333 405 459 513 555 629 703 765 855 969 999 1377 1539 1615 1665 1887 2109 2295 2565 2711 2907 2997 3145 3515 4845 4995 5661 6327 6885 7695 8133 8721 9435 10545 11951 13555 14535 14985 16983 18981 24399 26163 28305 31635 35853 40665 43605 46087 50949 51509 56943 59755 73197 84915 94905 100307 107559 121995 130815 138261 154527 179265 219591 230435 254745 257545 284715 300921 322677 365985 414783 463581 501535 537795 691305 772635 875653 902763 968031 1097955 1244349 1390743 1504605 1613385 1705219 1905833 2073915 2317905 2626959 2708289 3733047 4172229 4378265 4513815 4840155 5115657 5717499 6221745 6953715 7880877 8124867 8526095 9529165 13134795 13541445 15346971 17152497 18665235 20861145 23642631 25578285 28587495 32399161 39404385 40624335 46040913 51457491 70927893 76734855 85762485 97197483 118213155 138122739 154372473 161995805 230204565 257287455 291592449 354639465 485987415 690613695 771862365 874777347 1457962245 2624332041 4373886735 13121660205