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2130311113 = 7261712717
BaseRepresentation
bin111111011111001…
…1111011111001001
312111110120000110121
41332332133133021
513330324423423
6551215543241
7103535226400
oct17676373711
95443500417
102130311113
119a35612a7
124b552ab21
1327c471628
14162cda637
15c705345d
hex7ef9f7c9

2130311113 has 12 divisors (see below), whose sum is σ = 2518745412. Its totient is φ = 1796044320.

The previous prime is 2130311111. The next prime is 2130311137. The reversal of 2130311113 is 3111130312.

It can be written as a sum of positive squares in 2 ways, for example, as 926776249 + 1203534864 = 30443^2 + 34692^2 .

It is not a de Polignac number, because 2130311113 - 21 = 2130311111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2130311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353370 + ... + 359347.

It is an arithmetic number, because the mean of its divisors is an integer number (209895451).

Almost surely, 22130311113 is an apocalyptic number.

It is an amenable number.

2130311113 is a deficient number, since it is larger than the sum of its proper divisors (388434299).

2130311113 is an equidigital number, since it uses as much as digits as its factorization.

2130311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712792 (or 712785 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2130311113 is about 46155.2934450643. The cubic root of 2130311113 is about 1286.7109918405.

Adding to 2130311113 its reverse (3111130312), we get a palindrome (5241441425).

The spelling of 2130311113 in words is "two billion, one hundred thirty million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 7 49 61 427 2989 712717 4989019 34923133 43475737 304330159 2130311113