Search a number
-
+
2117147833 is a prime number
BaseRepresentation
bin111111000110001…
…0001110010111001
312110112210020211201
41332030101302321
513313442212313
6550025454201
7103315313443
oct17614216271
95415706751
102117147833
11997090559
124b1041361
13279812cc8
14161271493
15c5d030dd
hex7e311cb9

2117147833 has 2 divisors, whose sum is σ = 2117147834. Its totient is φ = 2117147832.

The previous prime is 2117147779. The next prime is 2117147843. The reversal of 2117147833 is 3387417112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1806930064 + 310217769 = 42508^2 + 17613^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117147833 - 213 = 2117139641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2117147792 and 2117147801.

It is not a weakly prime, because it can be changed into another prime (2117147843) 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, 1058573916 + 1058573917.

It is an arithmetic number, because the mean of its divisors is an integer number (1058573917).

Almost surely, 22117147833 is an apocalyptic number.

It is an amenable number.

2117147833 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117147833 is an equidigital number, since it uses as much as digits as its factorization.

2117147833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28224, while the sum is 37.

The square root of 2117147833 is about 46012.4747541360. The cubic root of 2117147833 is about 1284.0553010492.

The spelling of 2117147833 in words is "two billion, one hundred seventeen million, one hundred forty-seven thousand, eight hundred thirty-three".