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2117049509 is a prime number
BaseRepresentation
bin111111000101111…
…1001110010100101
312110112121020222002
41332023321302211
513313431041014
6550023415045
7103314424001
oct17613716245
95415536862
102117049509
119970236a3
124b0bb4485
132797aa323
14161247701
15c5cd3dde
hex7e2f9ca5

2117049509 has 2 divisors, whose sum is σ = 2117049510. Its totient is φ = 2117049508.

The previous prime is 2117049439. The next prime is 2117049547. The reversal of 2117049509 is 9059407112.

It is an a-pointer prime, because the next prime (2117049547) can be obtained adding 2117049509 to its sum of digits (38).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1460921284 + 656128225 = 38222^2 + 25615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2117049509 is a prime.

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 (2117040509) 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 as a sum of consecutive naturals, namely, 1058524754 + 1058524755.

It is an arithmetic number, because the mean of its divisors is an integer number (1058524755).

Almost surely, 22117049509 is an apocalyptic number.

It is an amenable number.

2117049509 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117049509 is an equidigital number, since it uses as much as digits as its factorization.

2117049509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 38.

The square root of 2117049509 is about 46011.4062923532. The cubic root of 2117049509 is about 1284.0354228265.

The spelling of 2117049509 in words is "two billion, one hundred seventeen million, forty-nine thousand, five hundred nine".