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2117090917 is a prime number
BaseRepresentation
bin111111000110000…
…0011111001100101
312110112200100202201
41332030003321211
513313433402132
6550024334501
7103314655504
oct17614037145
95415610681
102117090917
11997051817
124b1014431
132797c3126
1416125883b
15c5ce12e7
hex7e303e65

2117090917 has 2 divisors, whose sum is σ = 2117090918. Its totient is φ = 2117090916.

The previous prime is 2117090909. The next prime is 2117090951. The reversal of 2117090917 is 7190907112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1086295681 + 1030795236 = 32959^2 + 32106^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117090917 - 23 = 2117090909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117090117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058545458 + 1058545459.

It is an arithmetic number, because the mean of its divisors is an integer number (1058545459).

Almost surely, 22117090917 is an apocalyptic number.

It is an amenable number.

2117090917 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117090917 is an equidigital number, since it uses as much as digits as its factorization.

2117090917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 37.

The square root of 2117090917 is about 46011.8562655323. The cubic root of 2117090917 is about 1284.0437943820.

The spelling of 2117090917 in words is "two billion, one hundred seventeen million, ninety thousand, nine hundred seventeen".