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2220000210017 is a prime number
BaseRepresentation
bin100000010011100010010…
…100101110110001100001
321212020012122001110210122
4200103202110232301201
5242333030023210032
64415504245010025
7316250450302202
oct40234224566141
97766178043718
102220000210017
11786551274877
122ba3016b3915
13131464302935
147963ccad5a9
153cb32210012
hex204e252ec61

2220000210017 has 2 divisors, whose sum is σ = 2220000210018. Its totient is φ = 2220000210016.

The previous prime is 2220000210007. The next prime is 2220000210019. The reversal of 2220000210017 is 7100120000222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1667737205281 + 552263004736 = 1291409^2 + 743144^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220000210017 - 26 = 2220000209953 is a prime.

Together with 2220000210019, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2220000209977 and 2220000210004.

It is not a weakly prime, because it can be changed into another prime (2220000210019) 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, 1110000105008 + 1110000105009.

It is an arithmetic number, because the mean of its divisors is an integer number (1110000105009).

Almost surely, 22220000210017 is an apocalyptic number.

It is an amenable number.

2220000210017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220000210017 is an equidigital number, since it uses as much as digits as its factorization.

2220000210017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 17.

Adding to 2220000210017 its reverse (7100120000222), we get a palindrome (9320120210239).

The spelling of 2220000210017 in words is "two trillion, two hundred twenty billion, two hundred ten thousand, seventeen".