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21131414301141 = 32103109239875033
BaseRepresentation
bin1001100111000000010100…
…11100010110100111010101
32202211010212121002010012100
410303200022130112213111
510232204114030114031
6112535345425112313
74310460100633134
oct463401234264725
982733777063170
1021131414301141
116807867529481
1224534aba88699
13ba38b746c081
14530aa192591b
15269a236ccde6
hex13380a7169d5

21131414301141 has 48 divisors (see below), whose sum is σ = 31232413555200. Its totient is φ = 13764995387136.

The previous prime is 21131414301131. The next prime is 21131414301163. The reversal of 21131414301141 is 14110341413112.

21131414301141 is a `hidden beast` number, since 2 + 1 + 1 + 314 + 1 + 4 + 301 + 1 + 41 = 666.

It is not a de Polignac number, because 21131414301141 - 222 = 21131410106837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131414301131) 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, 23711761 + ... + 24586793.

It is an arithmetic number, because the mean of its divisors is an integer number (650675282400).

Almost surely, 221131414301141 is an apocalyptic number.

It is an amenable number.

21131414301141 is a deficient number, since it is larger than the sum of its proper divisors (10100999254059).

21131414301141 is a wasteful number, since it uses less digits than its factorization.

21131414301141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875490 (or 875487 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 21131414301141 its reverse (14110341413112), we get a palindrome (35241755714253).

The spelling of 21131414301141 in words is "twenty-one trillion, one hundred thirty-one billion, four hundred fourteen million, three hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 103 109 239 309 327 717 927 981 2151 11227 24617 26051 33681 73851 78153 101043 221553 234459 875033 2625099 2683253 7875297 8049759 24149277 90128399 95378597 209132887 270385197 286135791 627398661 811155591 858407373 1882195983 9823995491 21540687361 22795484683 29471986473 64622062083 68386454049 88415959419 193866186249 205159362147 2347934922349 7043804767047 21131414301141