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2241414313 is a prime number
BaseRepresentation
bin1000010110011001…
…0100010010101001
312210012121122101221
42011212110102221
514042300224223
61010225142041
7106354464415
oct20546242251
95705548357
102241414313
11a50246826
1252678a921
132994a1b78
1417397bd45
15d1b9cb5d
hex859944a9

2241414313 has 2 divisors, whose sum is σ = 2241414314. Its totient is φ = 2241414312.

The previous prime is 2241414299. The next prime is 2241414319. The reversal of 2241414313 is 3134141422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2225197584 + 16216729 = 47172^2 + 4027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2241414313 is a prime.

It is not a weakly prime, because it can be changed into another prime (2241414319) 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, 1120707156 + 1120707157.

It is an arithmetic number, because the mean of its divisors is an integer number (1120707157).

Almost surely, 22241414313 is an apocalyptic number.

It is an amenable number.

2241414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241414313 is an equidigital number, since it uses as much as digits as its factorization.

2241414313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 25.

The square root of 2241414313 is about 47343.5773151966. The cubic root of 2241414313 is about 1308.7018418302.

Adding to 2241414313 its reverse (3134141422), we get a palindrome (5375555735).

The spelling of 2241414313 in words is "two billion, two hundred forty-one million, four hundred fourteen thousand, three hundred thirteen".