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13125445013135 = 5713139552737549
BaseRepresentation
bin1011111100000000000101…
…1111001100111010001111
31201110210001211102110121002
42333000001133030322033
53210021402410410020
643525425102330515
72523165522540560
oct277000137147217
951423054373532
1013125445013135
114200519591874
12157b970b89a3b
13742954c73240
143353bc590167
1517b652699975
hexbf0017cce8f

13125445013135 has 64 divisors (see below), whose sum is σ = 19528787712000. Its totient is φ = 8246492416512.

The previous prime is 13125445013117. The next prime is 13125445013203. The reversal of 13125445013135 is 53131054452131.

It is not a de Polignac number, because 13125445013135 - 218 = 13125444750991 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349536341 + ... + 349573889.

It is an arithmetic number, because the mean of its divisors is an integer number (305137308000).

Almost surely, 213125445013135 is an apocalyptic number.

13125445013135 is a deficient number, since it is larger than the sum of its proper divisors (6403342698865).

13125445013135 is a wasteful number, since it uses less digits than its factorization.

13125445013135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43240.

The product of its (nonzero) digits is 108000, while the sum is 38.

Adding to 13125445013135 its reverse (53131054452131), we get a palindrome (66256499465266).

The spelling of 13125445013135 in words is "thirteen trillion, one hundred twenty-five billion, four hundred forty-five million, thirteen thousand, one hundred thirty-five".

Divisors: 1 5 7 13 35 65 91 139 455 695 973 1807 4865 5527 9035 12649 27635 37549 38689 63245 71851 187745 193445 262843 359255 488137 502957 768253 1314215 2440685 2514785 3416959 3841265 5219311 5377771 9987289 17084795 26096555 26888855 36535177 49936445 67851043 69911023 182675885 207533323 339255215 349555115 474957301 1037666615 1452733261 2374786505 2697933199 7263666305 13489665995 18885532393 28847131897 94427661965 144235659485 201929923279 375012714661 1009649616395 1875063573305 2625089002627 13125445013135