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310300013 = 418985037
BaseRepresentation
bin10010011111101…
…100110101101101
3210121212212121002
4102133230311231
51113414100023
650442450045
710455335522
oct2237546555
9717785532
10310300013
1114a179aa1
1287b03925
134c39609a
142d2d5149
151c395b28
hex127ecd6d

310300013 has 8 divisors (see below), whose sum is σ = 321443640. Its totient is φ = 299326720.

The previous prime is 310300007. The next prime is 310300021. The reversal of 310300013 is 310003013.

It can be written as a sum of positive squares in 4 ways, for example, as 6041764 + 304258249 = 2458^2 + 17443^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310300013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310299967 and 310300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310300073) 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, 38870 + ... + 46167.

It is an arithmetic number, because the mean of its divisors is an integer number (40180455).

Almost surely, 2310300013 is an apocalyptic number.

It is an amenable number.

310300013 is a deficient number, since it is larger than the sum of its proper divisors (11143627).

310300013 is an equidigital number, since it uses as much as digits as its factorization.

310300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85167.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 310300013 is about 17615.3345980143. The cubic root of 310300013 is about 677.0082036145.

Adding to 310300013 its reverse (310003013), we get a palindrome (620303026).

It can be divided in two parts, 3103000 and 13, that added together give a palindrome (3103013).

The spelling of 310300013 in words is "three hundred ten million, three hundred thousand, thirteen".

Divisors: 1 41 89 3649 85037 3486517 7568293 310300013