Search a number
BaseRepresentation
bin1011111100001111001001
312220000222112
423330033021
51300132223
6151032105
735415164
oct13741711
95800875
103130313
11184893a
12106b635
13857a74
1541c778
hex2fc3c9

3130313 has 8 divisors (see below), whose sum is σ = 3206568. Its totient is φ = 3055104.

The previous prime is 3130297. The next prime is 3130327.

3130313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 3087049 = 208^2 + 1757^2 .

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 3130313 - 24 = 3130297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3130333) 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, 9845 + ... + 10157.

It is an arithmetic number, because the mean of its divisors is an integer number (400821).

Almost surely, 23130313 is an apocalyptic number.

It is an amenable number.

3130313 is a deficient number, since it is larger than the sum of its proper divisors (76255).

3130313 is a wasteful number, since it uses less digits than its factorization.

3130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 3130313 is about 1769.2690581141. The cubic root of 3130313 is about 146.2836949660.

It can be divided in two parts, 3130 and 313, that added together give a palindrome (3443).

The spelling of 3130313 in words is "three million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 73 137 313 10001 22849 42881 3130313