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1312310313 = 32269542053
BaseRepresentation
bin100111000111000…
…0100010000101001
310101110100021022200
41032032010100221
510141422412223
6334115210413
744343311406
oct11616042051
93343307280
101312310313
11613846186
123075a6a09
1317bb582a2
14c64072ad
157a322a43
hex4e384429

1312310313 has 12 divisors (see below), whose sum is σ = 1902609540. Its totient is φ = 871619616.

The previous prime is 1312310309. The next prime is 1312310323. The reversal of 1312310313 is 3130132131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 317980224 + 994330089 = 17832^2 + 31533^2 .

It is not a de Polignac number, because 1312310313 - 22 = 1312310309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312310303) 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, 268606 + ... + 273447.

It is an arithmetic number, because the mean of its divisors is an integer number (158550795).

Almost surely, 21312310313 is an apocalyptic number.

It is an amenable number.

1312310313 is a deficient number, since it is larger than the sum of its proper divisors (590299227).

1312310313 is a wasteful number, since it uses less digits than its factorization.

1312310313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542328 (or 542325 counting only the distinct ones).

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

The square root of 1312310313 is about 36225.8238415636. The cubic root of 1312310313 is about 1094.8270371707.

Adding to 1312310313 its reverse (3130132131), we get a palindrome (4442442444).

It can be divided in two parts, 13123 and 10313, that added together give a triangular number (23436 = T216).

The spelling of 1312310313 in words is "one billion, three hundred twelve million, three hundred ten thousand, three hundred thirteen".

Divisors: 1 3 9 269 807 2421 542053 1626159 4878477 145812257 437436771 1312310313