Search a number
-
+
2113837249 is a prime number
BaseRepresentation
bin111110111111110…
…1001100011000001
312110022120001120111
41331333221203001
513312120242444
6545430511321
7103245214546
oct17577514301
95408501514
102113837249
1199522a237
124abb05541
13278c24194
14160a4cbcd
15c589c234
hex7dfe98c1

2113837249 has 2 divisors, whose sum is σ = 2113837250. Its totient is φ = 2113837248.

The previous prime is 2113837247. The next prime is 2113837339. The reversal of 2113837249 is 9427383112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1170118849 + 943718400 = 34207^2 + 30720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113837249 - 21 = 2113837247 is a prime.

Together with 2113837247, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2113837247) 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, 1056918624 + 1056918625.

It is an arithmetic number, because the mean of its divisors is an integer number (1056918625).

Almost surely, 22113837249 is an apocalyptic number.

It is an amenable number.

2113837249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113837249 is an equidigital number, since it uses as much as digits as its factorization.

2113837249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 2113837249 is about 45976.4858269964. The cubic root of 2113837249 is about 1283.3856594770.

The spelling of 2113837249 in words is "two billion, one hundred thirteen million, eight hundred thirty-seven thousand, two hundred forty-nine".