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1000221222017 is a prime number
BaseRepresentation
bin11101000111000011101…
…01001010010010000001
310112121202010200200001002
432203201311022102001
5112341423113101032
62043254552021345
7132156262052123
oct16434165122201
93477663620032
101000221222017
11356211893306
12141a24091855
1373422073544
14365a7991213
151b040db3862
hexe8e1d4a481

1000221222017 has 2 divisors, whose sum is σ = 1000221222018. Its totient is φ = 1000221222016.

The previous prime is 1000221221983. The next prime is 1000221222019. The reversal of 1000221222017 is 7102221220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 885360556096 + 114860665921 = 940936^2 + 338911^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000221222017 - 222 = 1000217027713 is a prime.

Together with 1000221222019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000221222017.

It is not a weakly prime, because it can be changed into another prime (1000221222019) 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, 500110611008 + 500110611009.

It is an arithmetic number, because the mean of its divisors is an integer number (500110611009).

Almost surely, 21000221222017 is an apocalyptic number.

It is an amenable number.

1000221222017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221222017 is an equidigital number, since it uses as much as digits as its factorization.

1000221222017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 1000221222017 its reverse (7102221220001), we get a palindrome (8102442442018).

The spelling of 1000221222017 in words is "one trillion, two hundred twenty-one million, two hundred twenty-two thousand, seventeen".