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23001131313 = 322555681257
BaseRepresentation
bin10101011010111110…
…010110100100110001
32012100222200112110100
4111122332112210301
5334101242200223
614322214023013
71442663250606
oct253276264461
965328615410
1023001131313
1198335a2436
12455b047a69
132227397094
141182b046ad
158e9485043
hex55af96931

23001131313 has 6 divisors (see below), whose sum is σ = 33223856354. Its totient is φ = 15334087536.

The previous prime is 23001131249. The next prime is 23001131371. The reversal of 23001131313 is 31313110032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 20819026944 + 2182104369 = 144288^2 + 46713^2 .

It is not a de Polignac number, because 23001131313 - 26 = 23001131249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23001131113) 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 5 ways as a sum of consecutive naturals, for example, 1277840620 + ... + 1277840637.

Almost surely, 223001131313 is an apocalyptic number.

It is an amenable number.

23001131313 is a deficient number, since it is larger than the sum of its proper divisors (10222725041).

23001131313 is a wasteful number, since it uses less digits than its factorization.

23001131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555681263 (or 2555681260 counting only the distinct ones).

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

Adding to 23001131313 its reverse (31313110032), we get a palindrome (54314241345).

The spelling of 23001131313 in words is "twenty-three billion, one million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 2555681257 7667043771 23001131313