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2201241313 is a prime number
BaseRepresentation
bin1000001100110100…
…0100011011100001
312200102000122102001
42003031010123201
514002004210223
61002232124001
7105356146105
oct20315043341
95612018361
102201241313
11a2a5a81a7
12515236601
1329107766b
1416c4c1905
15cd3b49ad
hex833446e1

2201241313 has 2 divisors, whose sum is σ = 2201241314. Its totient is φ = 2201241312.

The previous prime is 2201241299. The next prime is 2201241349. The reversal of 2201241313 is 3131421022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2174543424 + 26697889 = 46632^2 + 5167^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201241313 - 221 = 2199144161 is a prime.

It is not a weakly prime, because it can be changed into another prime (2201241353) 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, 1100620656 + 1100620657.

It is an arithmetic number, because the mean of its divisors is an integer number (1100620657).

Almost surely, 22201241313 is an apocalyptic number.

It is an amenable number.

2201241313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201241313 is an equidigital number, since it uses as much as digits as its factorization.

2201241313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2201241313 is about 46917.3881732562. The cubic root of 2201241313 is about 1300.8360131431.

Adding to 2201241313 its reverse (3131421022), we get a palindrome (5332662335).

The spelling of 2201241313 in words is "two billion, two hundred one million, two hundred forty-one thousand, three hundred thirteen".