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10113230313 = 323730370061
BaseRepresentation
bin10010110101100101…
…11010010111101001
3222002210211022220200
421122302322113221
5131202441332223
64351305342413
7505421016324
oct113262722751
928083738820
1010113230313
11431a72268a
121b62a97a09
13c522b3c64
146bd1d97bb
153e2cc7a43
hex25acba5e9

10113230313 has 12 divisors (see below), whose sum is σ = 15002810628. Its totient is φ = 6559932960.

The previous prime is 10113230299. The next prime is 10113230327. The reversal of 10113230313 is 31303231101.

It is a happy number.

10113230313 is a `hidden beast` number, since 10 + 113 + 230 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (10113230299) and next prime (10113230327).

It can be written as a sum of positive squares in 2 ways, for example, as 6776088489 + 3337141824 = 82317^2 + 57768^2 .

It is not a de Polignac number, because 10113230313 - 218 = 10112968169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113230363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15184698 + ... + 15185363.

It is an arithmetic number, because the mean of its divisors is an integer number (1250234219).

Almost surely, 210113230313 is an apocalyptic number.

It is an amenable number.

10113230313 is a deficient number, since it is larger than the sum of its proper divisors (4889580315).

10113230313 is a wasteful number, since it uses less digits than its factorization.

10113230313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370104 (or 30370101 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113230313 its reverse (31303231101), we get a palindrome (41416461414).

The spelling of 10113230313 in words is "ten billion, one hundred thirteen million, two hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 30370061 91110183 273330549 1123692257 3371076771 10113230313