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2131313309 is a prime number
BaseRepresentation
bin111111100001001…
…0100001010011101
312111112102221012222
41333002110022131
513331104011214
6551253235125
7103546602266
oct17702241235
95445387188
102131313309
119a4086264
124b5932aa5
1327c732848
141630bb96d
15c71a038e
hex7f09429d

2131313309 has 2 divisors, whose sum is σ = 2131313310. Its totient is φ = 2131313308.

The previous prime is 2131313293. The next prime is 2131313347. The reversal of 2131313309 is 9033131312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1240589284 + 890724025 = 35222^2 + 29845^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131313309 - 24 = 2131313293 is a prime.

It is a super-2 number, since 2×21313133092 = 9084992842241058962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131313369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065656654 + 1065656655.

It is an arithmetic number, because the mean of its divisors is an integer number (1065656655).

Almost surely, 22131313309 is an apocalyptic number.

It is an amenable number.

2131313309 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131313309 is an equidigital number, since it uses as much as digits as its factorization.

2131313309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The square root of 2131313309 is about 46166.1489513691. The cubic root of 2131313309 is about 1286.9127361514.

The spelling of 2131313309 in words is "two billion, one hundred thirty-one million, three hundred thirteen thousand, three hundred nine".