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313295013 = 3311603519
BaseRepresentation
bin10010101011001…
…000000010100101
3210211112000222000
4102223020002211
51120200420023
651030555513
710522651353
oct2253100245
9724460860
10313295013
111509351a9
1288b08b99
134cba4385
142d8747d3
151c788243
hex12ac80a5

313295013 has 8 divisors (see below), whose sum is σ = 464140800. Its totient is φ = 208863324.

The previous prime is 313294991. The next prime is 313295069. The reversal of 313295013 is 310592313.

It is a happy number.

It is not a de Polignac number, because 313295013 - 213 = 313286821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 11603519 = 313295013 / (3 + 1 + 3 + 2 + 9 + 5 + 0 + 1 + 3).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313295093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5801733 + ... + 5801786.

It is an arithmetic number, because the mean of its divisors is an integer number (58017600).

Almost surely, 2313295013 is an apocalyptic number.

It is an amenable number.

313295013 is a deficient number, since it is larger than the sum of its proper divisors (150845787).

313295013 is a wasteful number, since it uses less digits than its factorization.

313295013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603528 (or 11603522 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 313295013 is about 17700.1416096030. The cubic root of 313295013 is about 679.1793827789.

The spelling of 313295013 in words is "three hundred thirteen million, two hundred ninety-five thousand, thirteen".

Divisors: 1 3 9 27 11603519 34810557 104431671 313295013