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133023315401145 = 32513418836280979
BaseRepresentation
bin11110001111101111100111…
…011101100001100110111001
3122102222220102120022122211200
4132033233213131201212321
5114413423222220314040
61150530022323244413
740006421522461161
oct3617574735414671
9572886376278750
10133023315401145
11394269646a6974
1212b04987219709
13592c077605130
1424bc5118055a1
15105a395b4e630
hex78fbe77619b9

133023315401145 has 96 divisors (see below), whose sum is σ = 254654646180480. Its totient is φ = 63818756305920.

The previous prime is 133023315401143. The next prime is 133023315401177. The reversal of 133023315401145 is 541104513320331.

133023315401145 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 233 + 1 + 5 + 401 + 14 + 5 = 666.

It is not a de Polignac number, because 133023315401145 - 21 = 133023315401143 is a prime.

It is a super-2 number, since 2×1330233154011452 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133023315401143) 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, 18038266 + ... + 24319244.

It is an arithmetic number, because the mean of its divisors is an integer number (2652652564380).

Almost surely, 2133023315401145 is an apocalyptic number.

133023315401145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133023315401145 is a deficient number, since it is larger than the sum of its proper divisors (121631330779335).

133023315401145 is a wasteful number, since it uses less digits than its factorization.

133023315401145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6281927 (or 6281924 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 133023315401145 its reverse (541104513320331), we get a palindrome (674127828721476).

The spelling of 133023315401145 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred fifteen million, four hundred one thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 41 45 65 117 123 195 205 369 533 585 615 883 1599 1845 2649 2665 4415 4797 7947 7995 11479 13245 23985 34437 36203 39735 57395 103311 108609 172185 181015 325827 470639 516555 543045 1411917 1629135 2353195 4235751 6280979 7059585 18842937 21178755 31404895 56528811 81652727 94214685 244958181 257520139 282644055 408263635 734874543 772560417 1224790905 1287600695 2317681251 3347761807 3674372715 3862802085 5546104457 10043285421 11588406255 16638313371 16738809035 27730522285 30129856263 49914940113 50216427105 72099357941 83191566855 150649281315 216298073823 227390282737 249574700565 360496789705 648894221469 682170848211 1081490369115 1136951413685 2046512544633 2956073675581 3244471107345 3410854241055 8868221026743 10232562723165 14780368377905 26604663080229 44341105133715 133023315401145