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23231131313 = 135413303161
BaseRepresentation
bin10101101000101011…
…101110111010110001
32012222000110202010212
4111220223232322301
5340034132200223
614401111433505
71451455233545
oct255053567261
965860422125
1023231131313
119941405885
124604085895
132262c26360
1411a5495a25
1590e768278
hex568aeeeb1

23231131313 has 8 divisors (see below), whose sum is σ = 25064393256. Its totient is φ = 21404476800.

The previous prime is 23231131309. The next prime is 23231131321. The reversal of 23231131313 is 31313113232.

It can be written as a sum of positive squares in 4 ways, for example, as 1062303649 + 22168827664 = 32593^2 + 148892^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23231131313 - 22 = 23231131309 is a prime.

It is a Duffinian number.

23231131313 is a modest number, since divided by 131313 gives 23231 as remainder.

It is not an unprimeable number, because it can be changed into a prime (23231131373) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1644548 + ... + 1658613.

It is an arithmetic number, because the mean of its divisors is an integer number (3133049157).

Almost surely, 223231131313 is an apocalyptic number.

It is an amenable number.

23231131313 is a deficient number, since it is larger than the sum of its proper divisors (1833261943).

23231131313 is a wasteful number, since it uses less digits than its factorization.

23231131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303715.

The product of its digits is 972, while the sum is 23.

Adding to 23231131313 its reverse (31313113232), we get a palindrome (54544244545).

The spelling of 23231131313 in words is "twenty-three billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 13 541 7033 3303161 42941093 1787010101 23231131313