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220001984017 is a prime number
BaseRepresentation
bin1100110011100100100…
…0111101111000010001
3210000212022112202022021
43030321020331320101
512101031001442032
6245022330011441
721615566003134
oct3147110757021
9700768482267
10220001984017
1185336425902
123677a276b81
131799123cb8a
14a91076221b
155ac9483097
hex333923de11

220001984017 has 2 divisors, whose sum is σ = 220001984018. Its totient is φ = 220001984016.

The previous prime is 220001983963. The next prime is 220001984071. The reversal of 220001984017 is 710489100022.

220001984017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (220001984071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (220001983963) and next prime (220001984071).

It can be written as a sum of positive squares in only one way, i.e., 210973943761 + 9028040256 = 459319^2 + 95016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220001984017 is a prime.

It is not a weakly prime, because it can be changed into another prime (220001984087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110000992008 + 110000992009.

It is an arithmetic number, because the mean of its divisors is an integer number (110000992009).

Almost surely, 2220001984017 is an apocalyptic number.

It is an amenable number.

220001984017 is a deficient number, since it is larger than the sum of its proper divisors (1).

220001984017 is an equidigital number, since it uses as much as digits as its factorization.

220001984017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 220001984017 in words is "two hundred twenty billion, one million, nine hundred eighty-four thousand, seventeen".