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10135031247 = 3211102374053
BaseRepresentation
bin10010111000001100…
…00100110111001111
3222011022211221011200
421130012010313033
5131224031444442
64353404520543
7506104226025
oct113406046717
928138757150
1010135031247
114330a62a90
121b6a250153
13c56978013
146c2072715
153e4b8234c
hex25c184dcf

10135031247 has 12 divisors (see below), whose sum is σ = 15970352424. Its totient is φ = 6142443120.

The previous prime is 10135031201. The next prime is 10135031251. The reversal of 10135031247 is 74213053101.

10135031247 is a `hidden beast` number, since 101 + 3 + 503 + 12 + 47 = 666.

10135031247 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 10135031247 - 211 = 10135029199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10135031247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135031297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51186928 + ... + 51187125.

It is an arithmetic number, because the mean of its divisors is an integer number (1330862702).

Almost surely, 210135031247 is an apocalyptic number.

10135031247 is a deficient number, since it is larger than the sum of its proper divisors (5835321177).

10135031247 is a wasteful number, since it uses less digits than its factorization.

10135031247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102374070 (or 102374067 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10135031247 its reverse (74213053101), we get a palindrome (84348084348).

The spelling of 10135031247 in words is "ten billion, one hundred thirty-five million, thirty-one thousand, two hundred forty-seven".

Divisors: 1 3 9 11 33 99 102374053 307122159 921366477 1126114583 3378343749 10135031247