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310002311313 = 3252976502681
BaseRepresentation
bin1001000001011011001…
…00111110000010010001
31002122011121001002101200
410200231210332002101
520034341042430223
6354225121221413
731253101111662
oct4405544760221
91078147032350
10310002311313
1110a52024a892
12500b7191869
1323305148106
141100b707369
1580e5876a43
hex482d93e091

310002311313 has 12 divisors (see below), whose sum is σ = 447865720068. Its totient is φ = 206629159680.

The previous prime is 310002311291. The next prime is 310002311369. The reversal of 310002311313 is 313113200013.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 234403159104 + 75599152209 = 484152^2 + 274953^2 .

It is not a de Polignac number, because 310002311313 - 212 = 310002307217 is a prime.

It is a super-2 number, since 2×3100023113132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (310002311813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3203668 + ... + 3299013.

It is an arithmetic number, because the mean of its divisors is an integer number (37322143339).

Almost surely, 2310002311313 is an apocalyptic number.

It is an amenable number.

310002311313 is a deficient number, since it is larger than the sum of its proper divisors (137863408755).

310002311313 is a wasteful number, since it uses less digits than its factorization.

310002311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6507984 (or 6507981 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 310002311313 its reverse (313113200013), we get a palindrome (623115511326).

The spelling of 310002311313 in words is "three hundred ten billion, two million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 9 5297 15891 47673 6502681 19508043 58524129 34444701257 103334103771 310002311313