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2131130313 = 321332295641
BaseRepresentation
bin111111100000110…
…0111011111001001
312111112002122012100
41333001213133021
513331032132223
6551245304013
7103545210624
oct17701473711
95445078170
102131130313
119a3a70824
124b5865009
1327c69a470
14163070dbb
15c7166043
hex7f0677c9

2131130313 has 24 divisors (see below), whose sum is σ = 3316706120. Its totient is φ = 1310826240.

The previous prime is 2131130311. The next prime is 2131130333. The reversal of 2131130313 is 3130311312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 377447184 + 1753683129 = 19428^2 + 41877^2 .

It is not a de Polignac number, because 2131130313 - 21 = 2131130311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131130311) 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 23 ways as a sum of consecutive naturals, for example, 374973 + ... + 380613.

Almost surely, 22131130313 is an apocalyptic number.

It is an amenable number.

2131130313 is a deficient number, since it is larger than the sum of its proper divisors (1185575807).

2131130313 is a wasteful number, since it uses less digits than its factorization.

2131130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8889 (or 8886 counting only the distinct ones).

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

The square root of 2131130313 is about 46164.1669804622. The cubic root of 2131130313 is about 1286.8759033651.

Adding to 2131130313 its reverse (3130311312), we get a palindrome (5261441625).

The spelling of 2131130313 in words is "two billion, one hundred thirty-one million, one hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 3229 5641 9687 16923 29061 41977 50769 73333 125931 219999 377793 659997 18214789 54644367 163933101 236792257 710376771 2131130313