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12065311356021 = 32711171953901739
BaseRepresentation
bin1010111110010010110010…
…0110001111010001110101
31120201102200021220202021100
42233210230212033101311
53040134224201343041
641354421051040313
72353455443252130
oct257445446172165
946642607822240
1012065311356021
11393196279a2a0
12142a408440099
136969a5651291
142d9d6da21217
1515dca6acd6b6
hexaf92c98f475

12065311356021 has 96 divisors (see below), whose sum is σ = 24216973747200. Its totient is φ = 5588532195840.

The previous prime is 12065311356019. The next prime is 12065311356073.

12065311356021 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 5 + 3 + 11 + 35 + 602 + 1 = 666.

12065311356021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12065311356021 - 21 = 12065311356019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12065311356221) 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, 26727031 + ... + 27174708.

It is an arithmetic number, because the mean of its divisors is an integer number (252260143200).

Almost surely, 212065311356021 is an apocalyptic number.

12065311356021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12065311356021 is an abundant number, since it is smaller than the sum of its proper divisors (12151662391179).

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

12065311356021 is a wasteful number, since it uses less digits than its factorization.

12065311356021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53901799 (or 53901796 counting only the distinct ones).

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

The spelling of 12065311356021 in words is "twelve trillion, sixty-five billion, three hundred eleven million, three hundred fifty-six thousand, twenty-one".

Divisors: 1 3 7 9 11 17 19 21 33 51 57 63 77 99 119 133 153 171 187 209 231 323 357 399 561 627 693 969 1071 1197 1309 1463 1683 1881 2261 2907 3553 3927 4389 6783 10659 11781 13167 20349 24871 31977 74613 223839 53901739 161705217 377312173 485115651 592919129 916329563 1024133041 1131936519 1778757387 2748988689 3072399123 3395809557 4150433903 5336272161 6414306941 7168931287 8246966067 9217197369 10079625193 11265463451 12451301709 17410261697 19242920823 21506793861 30238875579 33796390353 37353905127 52230785091 57728762469 64520381583 70557376351 78858244157 90716626737 101389171059 121871831879 156692355273 191512878667 211672129053 236574732471 365615495637 574538636001 635016387159 709724197413 1096846486911 1340590150669 1723615908003 4021770452007 12065311356021