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2222112120413 is a prime number
BaseRepresentation
bin100000010101100000001…
…101000001111001011101
321212102122210222122020012
4200111200031001321131
5242401341200323123
64420454010333005
7316354003243313
oct40254015017135
97772583878205
102222112120413
117874353a8369
122ba7b0a2a165
1313170ca00a63
147979d57a0b3
153cc0782b378
hex20560341e5d

2222112120413 has 2 divisors, whose sum is σ = 2222112120414. Its totient is φ = 2222112120412.

The previous prime is 2222112120401. The next prime is 2222112120427. The reversal of 2222112120413 is 3140212112222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1226162011684 + 995950108729 = 1107322^2 + 997973^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222112120413 - 28 = 2222112120157 is a prime.

It is a super-2 number, since 2×22221121204132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222112120493) 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, 1111056060206 + 1111056060207.

It is an arithmetic number, because the mean of its divisors is an integer number (1111056060207).

Almost surely, 22222112120413 is an apocalyptic number.

It is an amenable number.

2222112120413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222112120413 is an equidigital number, since it uses as much as digits as its factorization.

2222112120413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2222112120413 its reverse (3140212112222), we get a palindrome (5362324232635).

The spelling of 2222112120413 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, four hundred thirteen".