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1313118313 = 13109926689
BaseRepresentation
bin100111001000100…
…1001100001101001
310101111212022200121
41032101021201221
510142124241223
6334144403241
744353215163
oct11621114151
93344768617
101313118313
11614248251
12307916521
1317c07bcb0
14c6577933
157a43215d
hex4e449869

1313118313 has 8 divisors (see below), whose sum is σ = 1427102600. Its totient is φ = 1200987648.

The previous prime is 1313118311. The next prime is 1313118319. The reversal of 1313118313 is 3138113131.

It can be written as a sum of positive squares in 4 ways, for example, as 6512704 + 1306605609 = 2552^2 + 36147^2 .

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 1313118313 - 21 = 1313118311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313118311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461928 + ... + 464761.

It is an arithmetic number, because the mean of its divisors is an integer number (178387825).

Almost surely, 21313118313 is an apocalyptic number.

1313118313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313118313 is a deficient number, since it is larger than the sum of its proper divisors (113984287).

1313118313 is a wasteful number, since it uses less digits than its factorization.

1313118313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926811.

The product of its digits is 648, while the sum is 25.

The square root of 1313118313 is about 36236.9743908070. The cubic root of 1313118313 is about 1095.0516890037.

The spelling of 1313118313 in words is "one billion, three hundred thirteen million, one hundred eighteen thousand, three hundred thirteen".

Divisors: 1 13 109 1417 926689 12046957 101009101 1313118313