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2137107317 is a prime number
BaseRepresentation
bin111111101100001…
…1010101101110101
312111221100022002212
41333120122231311
513334044413232
6552021343205
7103650053402
oct17730325565
95457308085
102137107317
119a73833a4
124b7867b05
132809b0b57
14163b892a9
15c7946eb2
hex7f61ab75

2137107317 has 2 divisors, whose sum is σ = 2137107318. Its totient is φ = 2137107316.

The previous prime is 2137107299. The next prime is 2137107331. The reversal of 2137107317 is 7137017312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2050821796 + 86285521 = 45286^2 + 9289^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137107317 - 214 = 2137090933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137107337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068553658 + 1068553659.

It is an arithmetic number, because the mean of its divisors is an integer number (1068553659).

Almost surely, 22137107317 is an apocalyptic number.

It is an amenable number.

2137107317 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137107317 is an equidigital number, since it uses as much as digits as its factorization.

2137107317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6174, while the sum is 32.

The square root of 2137107317 is about 46228.8580542501. The cubic root of 2137107317 is about 1288.0778450195.

The spelling of 2137107317 in words is "two billion, one hundred thirty-seven million, one hundred seven thousand, three hundred seventeen".