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23131030013 = 721336312449
BaseRepresentation
bin10101100010101101…
…111000000111111101
32012201001010001222022
4111202231320013331
5334333020430023
614343134125525
71446131340200
oct254255700775
965631101868
1023131030013
11989a955233
1245966508a5
132248278710
141196079937
15905a937c8
hex562b781fd

23131030013 has 12 divisors (see below), whose sum is σ = 28977335100. Its totient is φ = 18301473792.

The previous prime is 23131029997. The next prime is 23131030051. The reversal of 23131030013 is 31003013132.

It can be written as a sum of positive squares in 2 ways, for example, as 13265971684 + 9865058329 = 115178^2 + 99323^2 .

It is not a de Polignac number, because 23131030013 - 24 = 23131029997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23131029973 and 23131030000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131030513) 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, 18155588 + ... + 18156861.

It is an arithmetic number, because the mean of its divisors is an integer number (2414777925).

Almost surely, 223131030013 is an apocalyptic number.

It is an amenable number.

23131030013 is a deficient number, since it is larger than the sum of its proper divisors (5846305087).

23131030013 is a wasteful number, since it uses less digits than its factorization.

23131030013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36312476 (or 36312469 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 23131030013 its reverse (31003013132), we get a palindrome (54134043145).

The spelling of 23131030013 in words is "twenty-three billion, one hundred thirty-one million, thirty thousand, thirteen".

Divisors: 1 7 13 49 91 637 36312449 254187143 472061837 1779310001 3304432859 23131030013