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2331313249 is a prime number
BaseRepresentation
bin1000101011110101…
…0000010001100001
320000110202222120011
42022331100101201
514233304010444
61023200044521
7111525556426
oct21275202141
96013688504
102331313249
11a96a69171
12550903741
132b1cb9ac5
1418189dd4d
15d9a09734
hex8af50461

2331313249 has 2 divisors, whose sum is σ = 2331313250. Its totient is φ = 2331313248.

The previous prime is 2331313247. The next prime is 2331313297. The reversal of 2331313249 is 9423131332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2323914849 + 7398400 = 48207^2 + 2720^2 .

It is a cyclic number.

It is not a de Polignac number, because 2331313249 - 21 = 2331313247 is a prime.

Together with 2331313247, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2331313249.

It is not a weakly prime, because it can be changed into another prime (2331313247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1165656624 + 1165656625.

It is an arithmetic number, because the mean of its divisors is an integer number (1165656625).

Almost surely, 22331313249 is an apocalyptic number.

It is an amenable number.

2331313249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2331313249 is an equidigital number, since it uses as much as digits as its factorization.

2331313249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11664, while the sum is 31.

The square root of 2331313249 is about 48283.6747669437. The cubic root of 2331313249 is about 1325.9695287328.

The spelling of 2331313249 in words is "two billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred forty-nine".