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13313112322122 = 23243346313732687
BaseRepresentation
bin1100000110111011001101…
…0101001011000001001010
31202010201110200120112110200
43001232303111023001022
53221110223223301442
644151543120153030
72542561222414314
oct301566325130112
952121420515420
1013313112322122
114273071919748
1215b0206468776
13757562224cc2
143405027b07b4
1518148808334c
hexc1bb354b04a

13313112322122 has 96 divisors (see below), whose sum is σ = 29006031495168. Its totient is φ = 4413032160768.

The previous prime is 13313112322093. The next prime is 13313112322127. The reversal of 13313112322122 is 22122321131331.

13313112322122 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 311 + 2 + 322 + 1 + 22 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13313112322127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4954636663 + ... + 4954639349.

It is an arithmetic number, because the mean of its divisors is an integer number (302146161408).

Almost surely, 213313112322122 is an apocalyptic number.

13313112322122 is an abundant number, since it is smaller than the sum of its proper divisors (15692919173046).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13313112322122 is a wasteful number, since it uses less digits than its factorization.

13313112322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4961 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 13313112322122 its reverse (22122321131331), we get a palindrome (35435433453453).

The spelling of 13313112322122 in words is "thirteen trillion, three hundred thirteen billion, one hundred twelve million, three hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 433 463 866 926 1299 1373 1389 2598 2687 2746 2778 3897 4119 4167 5374 7794 8061 8238 8334 12357 16122 24183 24714 48366 200479 400958 594509 601437 635699 1163471 1189018 1202874 1244081 1271398 1783527 1804311 1907097 2326942 2488162 3490413 3567054 3608622 3689251 3732243 3814194 5350581 5721291 6980826 7378502 7464486 10471239 10701162 11067753 11196729 11442582 20942478 22135506 22393458 33203259 66406518 275257667 538687073 550515334 825773001 1077374146 1597445683 1616061219 1651546002 1708123213 2477319003 3194891366 3232122438 3416246426 4792337049 4848183657 4954638006 5124369639 9584674098 9696367314 10248739278 14377011147 15373108917 28754022294 30746217834 739617351229 1479234702458 2218852053687 4437704107374 6656556161061 13313112322122