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313130223013 = 2997327134031
BaseRepresentation
bin1001000111010000000…
…01000000010110100101
31002221020120202110121011
410203220001000112211
520112242314114023
6355503335222221
731423441660036
oct4435001002645
91087216673534
10313130223013
11110885936183
125082a817971
13236b319673a
1411226cc8a8d
15822a28550d
hex48e80405a5

313130223013 has 16 divisors (see below), whose sum is σ = 327376949760. Its totient is φ = 299115532800.

The previous prime is 313130222927. The next prime is 313130223017. The reversal of 313130223013 is 310322031313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313130223013 is a prime.

It is a super-2 number, since 2×3131302230132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313130223017) 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 15 ways as a sum of consecutive naturals, for example, 9184308 + ... + 9218338.

It is an arithmetic number, because the mean of its divisors is an integer number (20461059360).

Almost surely, 2313130223013 is an apocalyptic number.

It is an amenable number.

313130223013 is a deficient number, since it is larger than the sum of its proper divisors (14246726747).

313130223013 is a wasteful number, since it uses less digits than its factorization.

313130223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37428.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 313130223013 its reverse (310322031313), we get a palindrome (623452254326).

The spelling of 313130223013 in words is "three hundred thirteen billion, one hundred thirty million, two hundred twenty-three thousand, thirteen".

Divisors: 1 29 97 2813 3271 34031 94859 317287 986899 3301007 9201323 95729203 111315401 3228146629 10797593897 313130223013