Search a number
-
+
2117813149 is a prime number
BaseRepresentation
bin111111000111011…
…0100001110011101
312110121001001111001
41332032310032131
513314130010044
6550052030301
7103324054234
oct17616641635
95417031431
102117813149
119974a5401
124b1302391
132799b6a9a
141613a5b1b
15c5dd52d4
hex7e3b439d

2117813149 has 2 divisors, whose sum is σ = 2117813150. Its totient is φ = 2117813148.

The previous prime is 2117813111. The next prime is 2117813153. The reversal of 2117813149 is 9413187112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1351077049 + 766736100 = 36757^2 + 27690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117813149 - 221 = 2115715997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117813249) 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, 1058906574 + 1058906575.

It is an arithmetic number, because the mean of its divisors is an integer number (1058906575).

Almost surely, 22117813149 is an apocalyptic number.

It is an amenable number.

2117813149 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117813149 is an equidigital number, since it uses as much as digits as its factorization.

2117813149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 37.

The square root of 2117813149 is about 46019.7039212553. The cubic root of 2117813149 is about 1284.1897922186.

The spelling of 2117813149 in words is "two billion, one hundred seventeen million, eight hundred thirteen thousand, one hundred forty-nine".