Search a number
-
+
2117249737 is a prime number
BaseRepresentation
bin111111000110010…
…1010101011001001
312110112222102121221
41332030222223021
513314003442422
6550032002041
7103316216521
oct17614525311
95415872557
102117249737
11997150079
124b1090321
1327984a4c5
1416129a681
15c5d233c7
hex7e32aac9

2117249737 has 2 divisors, whose sum is σ = 2117249738. Its totient is φ = 2117249736.

The previous prime is 2117249731. The next prime is 2117249741. The reversal of 2117249737 is 7379427112.

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., 2116368016 + 881721 = 46004^2 + 939^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117249737 - 219 = 2116725449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2117249693 and 2117249702.

It is not a weakly prime, because it can be changed into another prime (2117249731) 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, 1058624868 + 1058624869.

It is an arithmetic number, because the mean of its divisors is an integer number (1058624869).

Almost surely, 22117249737 is an apocalyptic number.

It is an amenable number.

2117249737 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117249737 is an equidigital number, since it uses as much as digits as its factorization.

2117249737 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 148176, while the sum is 43.

The square root of 2117249737 is about 46013.5820926822. The cubic root of 2117249737 is about 1284.0759023931.

The spelling of 2117249737 in words is "two billion, one hundred seventeen million, two hundred forty-nine thousand, seven hundred thirty-seven".