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2413242241 is a prime number
BaseRepresentation
bin1000111111010111…
…0010011110000001
320020011221102000021
42033311302132001
514420242222431
61035244053441
7113542135444
oct21765623601
96204842007
102413242241
111029237683
12574234281
132c5c741b7
1418c70965b
15e1cdeb11
hex8fd72781

2413242241 has 2 divisors, whose sum is σ = 2413242242. Its totient is φ = 2413242240.

The previous prime is 2413242239. The next prime is 2413242257. The reversal of 2413242241 is 1422423142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2221142641 + 192099600 = 47129^2 + 13860^2 .

It is a cyclic number.

It is not a de Polignac number, because 2413242241 - 21 = 2413242239 is a prime.

It is a super-2 number, since 2×24132422412 = 11647476227493404162, which contains 22 as substring.

Together with 2413242239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2413242211) 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, 1206621120 + 1206621121.

It is an arithmetic number, because the mean of its divisors is an integer number (1206621121).

Almost surely, 22413242241 is an apocalyptic number.

It is an amenable number.

2413242241 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413242241 is an equidigital number, since it uses as much as digits as its factorization.

2413242241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3072, while the sum is 25.

The square root of 2413242241 is about 49124.7619943344. The cubic root of 2413242241 is about 1341.3238274214.

Adding to 2413242241 its reverse (1422423142), we get a palindrome (3835665383).

The spelling of 2413242241 in words is "two billion, four hundred thirteen million, two hundred forty-two thousand, two hundred forty-one".