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15131055231135 = 3353491997160817
BaseRepresentation
bin1101110000101111100100…
…1011000001000010011111
31222120111220020212220212000
43130023321023001002133
53440401400114344020
652103035534013343
73121116440240424
oct334137113010237
958514806786760
1015131055231135
114904054237458
1218445bb947253
13859b108cb91c
143a44c0187d4b
151b38d7e69090
hexdc2f92c109f

15131055231135 has 64 divisors (see below), whose sum is σ = 26990406576000. Its totient is φ = 8042693769216.

The previous prime is 15131055231109. The next prime is 15131055231137. The reversal of 15131055231135 is 53113255013151.

15131055231135 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 10 + 5 + 523 + 113 + 5 = 666.

15131055231135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15131055231135 - 27 = 15131055231007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 15131055231135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15131055231137) 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, 94008247 + ... + 94169063.

It is an arithmetic number, because the mean of its divisors is an integer number (421725102750).

Almost surely, 215131055231135 is an apocalyptic number.

15131055231135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15131055231135 is a deficient number, since it is larger than the sum of its proper divisors (11859351344865).

15131055231135 is a wasteful number, since it uses less digits than its factorization.

15131055231135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163177 (or 163171 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The spelling of 15131055231135 in words is "fifteen trillion, one hundred thirty-one billion, fifty-five million, two hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 349 1047 1745 1997 3141 5235 5991 9423 9985 15705 17973 29955 47115 53919 89865 160817 269595 482451 696953 804085 1447353 2090859 2412255 3484765 4342059 6272577 7236765 10454295 18817731 21710295 31362885 56125133 94088655 168375399 280625665 321151549 505126197 841876995 963454647 1515378591 1605757745 2525630985 2890363941 4817273235 7576892955 8671091823 14451819705 43355459115 112081890601 336245671803 560409453005 1008737015409 1681228359015 3026211046227 5043685077045 15131055231135