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310132211013 = 3237931327961
BaseRepresentation
bin1001000001101010101…
…00011111110101000101
31002122111122110200021200
410200311110133311011
520040122321223023
6354250041333113
731256236204212
oct4406524376505
91078448420250
10310132211013
1110a587603409
1250132797199
132332602a041
1411020a7cb09
158101e85743
hex483551fd45

310132211013 has 12 divisors (see below), whose sum is σ = 460076013228. Its totient is φ = 201166839360.

The previous prime is 310132211009. The next prime is 310132211023. The reversal of 310132211013 is 310112231013.

310132211013 is a `hidden beast` number, since 310 + 132 + 211 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 282809112804 + 27323098209 = 531798^2 + 165297^2 .

It is not a de Polignac number, because 310132211013 - 22 = 310132211009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310132211023) 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 11 ways as a sum of consecutive naturals, for example, 465663648 + ... + 465664313.

It is an arithmetic number, because the mean of its divisors is an integer number (38339667769).

Almost surely, 2310132211013 is an apocalyptic number.

It is an amenable number.

310132211013 is a deficient number, since it is larger than the sum of its proper divisors (149943802215).

310132211013 is a wasteful number, since it uses less digits than its factorization.

310132211013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931328004 (or 931328001 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 310132211013 its reverse (310112231013), we get a palindrome (620244442026).

The spelling of 310132211013 in words is "three hundred ten billion, one hundred thirty-two million, two hundred eleven thousand, thirteen".

Divisors: 1 3 9 37 111 333 931327961 2793983883 8381951649 34459134557 103377403671 310132211013