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3222003381313 is a prime number
BaseRepresentation
bin101110111000101110010…
…111011111010001000001
3102102000112221210112201011
4232320232113133101001
5410242130331200223
610504100134240521
7451532150601613
oct56705627372101
912360487715634
103222003381313
111032497a02a32
124405424b6141
131a4aab5b6122
14b1d35398db3
1558c2976380d
hex2ee2e5df441

3222003381313 has 2 divisors, whose sum is σ = 3222003381314. Its totient is φ = 3222003381312.

The previous prime is 3222003381281. The next prime is 3222003381319. The reversal of 3222003381313 is 3131833002223.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2827755017649 + 394248363664 = 1681593^2 + 627892^2 .

It is a cyclic number.

It is not a de Polignac number, because 3222003381313 - 25 = 3222003381281 is a prime.

It is not a weakly prime, because it can be changed into another prime (3222003381319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1611001690656 + 1611001690657.

It is an arithmetic number, because the mean of its divisors is an integer number (1611001690657).

Almost surely, 23222003381313 is an apocalyptic number.

It is an amenable number.

3222003381313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3222003381313 is an equidigital number, since it uses as much as digits as its factorization.

3222003381313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 3222003381313 its reverse (3131833002223), we get a palindrome (6353836383536).

The spelling of 3222003381313 in words is "three trillion, two hundred twenty-two billion, three million, three hundred eighty-one thousand, three hundred thirteen".