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310113013 = 726328837
BaseRepresentation
bin10010011110111…
…111001011110101
3210121112101002011
4102132333023311
51113342104023
650434444221
710453626400
oct2236771365
9717471064
10310113013
1114a061551
1287a33671
134c32bc32
142d286d37
151c35a50d
hex127bf2f5

310113013 has 6 divisors (see below), whose sum is σ = 360743766. Its totient is φ = 265811112.

The previous prime is 310112993. The next prime is 310113029. The reversal of 310113013 is 310311013.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 308950929 + 1162084 = 17577^2 + 1078^2 .

It is a de Polignac number, because none of the positive numbers 2k-310113013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310112984 and 310113002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310113313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3164370 + ... + 3164467.

It is an arithmetic number, because the mean of its divisors is an integer number (60123961).

Almost surely, 2310113013 is an apocalyptic number.

It is an amenable number.

310113013 is a deficient number, since it is larger than the sum of its proper divisors (50630753).

310113013 is an equidigital number, since it uses as much as digits as its factorization.

310113013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328851 (or 6328844 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 310113013 is about 17610.0259227521. The cubic root of 310113013 is about 676.8721782961.

Adding to 310113013 its reverse (310311013), we get a palindrome (620424026).

The spelling of 310113013 in words is "three hundred ten million, one hundred thirteen thousand, thirteen".

Divisors: 1 7 49 6328837 44301859 310113013