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13301561531412 = 223271128123170627
BaseRepresentation
bin1100000110010000001011…
…0110011001110000010100
31202002121122200201120102100
43001210002312121300110
53220413044223001122
644142353014442100
72542002044334540
oct301440266316024
952077580646370
1013301561531412
114269184793720
1215a9b22063330
137564411712bb
1433db286c6a20
1518100de96aac
hexc1902d99c14

13301561531412 has 144 divisors (see below), whose sum is σ = 41921808993792. Its totient is φ = 3454807947840.

The previous prime is 13301561531411. The next prime is 13301561531429. The reversal of 13301561531412 is 21413516510331.

13301561531412 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 5 + 615 + 31 + 4 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301561531411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77871643 + ... + 78042269.

It is an arithmetic number, because the mean of its divisors is an integer number (291123673568).

Almost surely, 213301561531412 is an apocalyptic number.

13301561531412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13301561531412 is an abundant number, since it is smaller than the sum of its proper divisors (28620247462380).

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

13301561531412 is a wasteful number, since it uses less digits than its factorization.

13301561531412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198778 (or 198773 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 13301561531412 in words is "thirteen trillion, three hundred one billion, five hundred sixty-one million, five hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 28123 56246 84369 112492 168738 170627 196861 253107 309353 337476 341254 393722 506214 511881 590583 618706 682508 787444 928059 1012428 1023762 1181166 1194389 1237412 1535643 1771749 1856118 1876897 2047524 2165471 2362332 2388778 2784177 3071286 3543498 3583167 3712236 3753794 4330942 4777556 5568354 5630691 6142572 6496413 7086996 7166334 7507588 8661884 10749501 11136708 11261382 12992826 13138279 14332668 16892073 19489239 21499002 22522764 25985652 26276558 33784146 38978478 39414837 42998004 52553116 67568292 77956956 78829674 118244511 157659348 236489022 472978044 4798543121 9597086242 14395629363 19194172484 28791258726 33589801847 43186888089 52783974331 57582517452 67179603694 86373776178 100769405541 105567948662 134359207388 158351922993 172747552356 201538811082 211135897324 302308216623 316703845986 369487820317 403077622164 475055768979 604616433246 633407691972 738975640634 950111537958 1108463460951 1209232866492 1477951281268 1900223075916 2216926921902 3325390382853 4433853843804 6650780765706 13301561531412