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12135255520031 = 721913034646101
BaseRepresentation
bin1011000010010111010110…
…0110000011001100011111
31120222010012211012102120022
42300211311212003030133
53042311000403120111
641450505345142355
72361512641656500
oct260456546031437
946863184172508
1012135255520031
113959595414a16
12143ba8862a9bb
136a0471349087
142dd4c7060ba7
151609ec3602db
hexb097598331f

12135255520031 has 12 divisors (see below), whose sum is σ = 14859496556280. Its totient is φ = 9854192451600.

The previous prime is 12135255519977. The next prime is 12135255520043. The reversal of 12135255520031 is 13002555253121.

It is a happy number.

12135255520031 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 12135255520031 - 26 = 12135255519967 is a prime.

It is a super-2 number, since 2×121352555200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12135255519973 and 12135255520000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135255520231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6517322120 + ... + 6517323981.

It is an arithmetic number, because the mean of its divisors is an integer number (1238291379690).

Almost surely, 212135255520031 is an apocalyptic number.

12135255520031 is a deficient number, since it is larger than the sum of its proper divisors (2724241036249).

12135255520031 is a wasteful number, since it uses less digits than its factorization.

12135255520031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13034646134 (or 13034646127 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 12135255520031 in words is "twelve trillion, one hundred thirty-five billion, two hundred fifty-five million, five hundred twenty thousand, thirty-one".

Divisors: 1 7 19 49 133 931 13034646101 91242522707 247658275919 638697658949 1733607931433 12135255520031