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2241315313 is a prime number
BaseRepresentation
bin1000010110010111…
…1100000111110001
312210012102121121021
42011211330013301
514042234042223
61010223055441
7106353602656
oct20545740761
95705377537
102241315313
11a50189406
12526741581
13299468aa3
14173953c2d
15d1b7d65d
hex8597c1f1

2241315313 has 2 divisors, whose sum is σ = 2241315314. Its totient is φ = 2241315312.

The previous prime is 2241315311. The next prime is 2241315331. The reversal of 2241315313 is 3135131422.

It is a happy number.

2241315313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (2241315331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2011701904 + 229613409 = 44852^2 + 15153^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241315313 - 21 = 2241315311 is a prime.

Together with 2241315311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2241315311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120657656 + 1120657657.

It is an arithmetic number, because the mean of its divisors is an integer number (1120657657).

Almost surely, 22241315313 is an apocalyptic number.

It is an amenable number.

2241315313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241315313 is an equidigital number, since it uses as much as digits as its factorization.

2241315313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2160, while the sum is 25.

The square root of 2241315313 is about 47342.5317552832. The cubic root of 2241315313 is about 1308.6825737295.

Adding to 2241315313 its reverse (3135131422), we get a palindrome (5376446735).

The spelling of 2241315313 in words is "two billion, two hundred forty-one million, three hundred fifteen thousand, three hundred thirteen".