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10311255513 = 321388130389
BaseRepresentation
bin10011001101001100…
…10100010111011001
3222121121110001102100
421212212110113121
5132104140134023
64423101554013
7513344140266
oct114646242731
928547401370
1010311255513
114411486979
121bb9275909
13c84329430
146db62626d
15405391c43
hex2669945d9

10311255513 has 12 divisors (see below), whose sum is σ = 16039730980. Its totient is φ = 6345387936.

The previous prime is 10311255503. The next prime is 10311255527. The reversal of 10311255513 is 31555211301.

10311255513 is a `hidden beast` number, since 103 + 1 + 1 + 2 + 5 + 551 + 3 = 666.

10311255513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4338593424 + 5972662089 = 65868^2 + 77283^2 .

It is not a de Polignac number, because 10311255513 - 29 = 10311255001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10311255503) 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, 44065078 + ... + 44065311.

Almost surely, 210311255513 is an apocalyptic number.

10311255513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10311255513 is a deficient number, since it is larger than the sum of its proper divisors (5728475467).

10311255513 is a wasteful number, since it uses less digits than its factorization.

10311255513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88130408 (or 88130405 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

Adding to 10311255513 its reverse (31555211301), we get a palindrome (41866466814).

The spelling of 10311255513 in words is "ten billion, three hundred eleven million, two hundred fifty-five thousand, five hundred thirteen".

Divisors: 1 3 9 13 39 117 88130389 264391167 793173501 1145695057 3437085171 10311255513