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2222222221313 is a prime number
BaseRepresentation
bin100000010101100110110…
…001000010000000000001
321212102221111011100021022
4200111212301002000001
5242402102342040223
64420512542235225
7316356511135223
oct40254661020001
97772844140238
102222222221313
11787491568846
122ba821885b15
13131729770013
14797b003a413
153cc12328ac8
hex20566c42001

2222222221313 has 2 divisors, whose sum is σ = 2222222221314. Its totient is φ = 2222222221312.

The previous prime is 2222222221309. The next prime is 2222222221319. The reversal of 2222222221313 is 3131222222222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2188810768369 + 33411452944 = 1479463^2 + 182788^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222222221313 - 22 = 2222222221309 is a prime.

It is a super-3 number, since 3×22222222213133 (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2222222221319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111111110656 + 1111111110657.

It is an arithmetic number, because the mean of its divisors is an integer number (1111111110657).

Almost surely, 22222222221313 is an apocalyptic number.

It is an amenable number.

2222222221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222222221313 is an equidigital number, since it uses as much as digits as its factorization.

2222222221313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4608, while the sum is 26.

Adding to 2222222221313 its reverse (3131222222222), we get a palindrome (5353444443535).

Subtracting 2222222221313 from its reverse (3131222222222), we obtain a palindrome (909000000909).

The spelling of 2222222221313 in words is "two trillion, two hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-one thousand, three hundred thirteen".