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1310232313 = 13175928653
BaseRepresentation
bin100111000011000…
…1000111011111001
310101022102200211201
41032012020323321
510140404413223
6334002454201
744316535165
oct11606107371
93338380751
101310232313
11612656a25
12306964361
1317b5ab4c0
14c6025ca5
157a061ead
hex4e188ef9

1310232313 has 8 divisors (see below), whose sum is σ = 1494020808. Its totient is φ = 1138301184.

The previous prime is 1310232289. The next prime is 1310232323. The reversal of 1310232313 is 3132320131.

It can be written as a sum of positive squares in 4 ways, for example, as 660969 + 1309571344 = 813^2 + 36188^2 .

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 1310232313 - 213 = 1310224121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1310232323) 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, 2964106 + ... + 2964547.

It is an arithmetic number, because the mean of its divisors is an integer number (186752601).

Almost surely, 21310232313 is an apocalyptic number.

1310232313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1310232313 is a deficient number, since it is larger than the sum of its proper divisors (183788495).

1310232313 is a wasteful number, since it uses less digits than its factorization.

1310232313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928683.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1310232313 is about 36197.1312813599. The cubic root of 1310232313 is about 1094.2488577465.

Adding to 1310232313 its reverse (3132320131), we get a palindrome (4442552444).

The spelling of 1310232313 in words is "one billion, three hundred ten million, two hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 13 17 221 5928653 77072489 100787101 1310232313