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2222002022113 is a prime number
BaseRepresentation
bin100000010101011001101…
…001000010011011100001
321212102101010211001202101
4200111121221002123201
5242401130004201423
64420435034450401
7316351165362106
oct40253151023341
97772333731671
102222002022113
11787389239935
122ba77bb93a01
131316c2c62a33
147978cabaaad
153cbecd2e7ad
hex20559a426e1

2222002022113 has 2 divisors, whose sum is σ = 2222002022114. Its totient is φ = 2222002022112.

The previous prime is 2222002022099. The next prime is 2222002022189. The reversal of 2222002022113 is 3112202002222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2207875035664 + 14126986449 = 1485892^2 + 118857^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222002022113 - 29 = 2222002021601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2222002026113) 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, 1111001011056 + 1111001011057.

It is an arithmetic number, because the mean of its divisors is an integer number (1111001011057).

Almost surely, 22222002022113 is an apocalyptic number.

It is an amenable number.

2222002022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222002022113 is an equidigital number, since it uses as much as digits as its factorization.

2222002022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 2222002022113 its reverse (3112202002222), we get a palindrome (5334204024335).

The spelling of 2222002022113 in words is "two trillion, two hundred twenty-two billion, two million, twenty-two thousand, one hundred thirteen".