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220033330081 is a prime number
BaseRepresentation
bin1100110011101100000…
…0100010101110100001
3210000221111112022000121
43030323000202232201
512101112013030311
6245025405520241
721616426306105
oct3147300425641
9700844468017
10220033330081
1185352095644
1236788873081
1317997896746
14a9149a1905
155acc0c5b71
hex333b022ba1

220033330081 has 2 divisors, whose sum is σ = 220033330082. Its totient is φ = 220033330080.

The previous prime is 220033330073. The next prime is 220033330087. The reversal of 220033330081 is 180033330022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219529731600 + 503598481 = 468540^2 + 22441^2 .

It is a cyclic number.

It is not a de Polignac number, because 220033330081 - 23 = 220033330073 is a prime.

It is a super-2 number, since 2×2200333300812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220033330087) 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, 110016665040 + 110016665041.

It is an arithmetic number, because the mean of its divisors is an integer number (110016665041).

Almost surely, 2220033330081 is an apocalyptic number.

It is an amenable number.

220033330081 is a deficient number, since it is larger than the sum of its proper divisors (1).

220033330081 is an equidigital number, since it uses as much as digits as its factorization.

220033330081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The spelling of 220033330081 in words is "two hundred twenty billion, thirty-three million, three hundred thirty thousand, eighty-one".