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13104541066127 = 7172337407331771
BaseRepresentation
bin1011111010110010001110…
…0000111110001110001111
31201101210002222221221011112
42332230203200332032033
53204201100003104002
643512050522242235
72521525513115630
oct276544340761617
951353088857145
1013104541066127
1141a2671885005
1215778b835637b
137409a321c524
14334398201887
1517ad2c3c2852
hexbeb2383e38f

13104541066127 has 64 divisors (see below), whose sum is σ = 16998981801984. Its totient is φ = 9836065198080.

The previous prime is 13104541066079. The next prime is 13104541066163. The reversal of 13104541066127 is 72166014540131.

It is a cyclic number.

It is not a de Polignac number, because 13104541066127 - 212 = 13104541062031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104541066027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412452752 + ... + 412484522.

It is an arithmetic number, because the mean of its divisors is an integer number (265609090656).

Almost surely, 213104541066127 is an apocalyptic number.

13104541066127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13104541066127 is a deficient number, since it is larger than the sum of its proper divisors (3894440735857).

13104541066127 is a wasteful number, since it uses less digits than its factorization.

13104541066127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35928.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 13104541066127 in words is "thirteen trillion, one hundred four billion, five hundred forty-one million, sixty-six thousand, one hundred twenty-seven".

Divisors: 1 7 17 23 37 119 161 259 391 629 851 2737 4073 4403 5957 14467 28511 31771 69241 93679 101269 150701 222397 484687 540107 655753 730733 1054907 1175527 1592543 2561917 3466123 3780749 5115131 8228689 11147801 12422461 17933419 19983959 24262861 27037121 58924091 86957227 129403283 139887713 189259847 412468637 459631057 905822981 2199855811 2976275509 3217417399 4787921471 15398990677 20833928563 33515450297 50596683653 81394665007 110122193833 354176785571 569762655049 770855356831 1872077295161 13104541066127