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10022220017 is a prime number
BaseRepresentation
bin10010101010101111…
…01111000011110001
3221212110120112020222
421111113233003301
5131011142020032
64334254542425
7503234315225
oct112527570361
927773515228
1010022220017
114283311267
121b38507a15
13c3949a204
146b10a8785
153d9ceba12
hex2555ef0f1

10022220017 has 2 divisors, whose sum is σ = 10022220018. Its totient is φ = 10022220016.

The previous prime is 10022220011. The next prime is 10022220053. The reversal of 10022220017 is 71002222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5148923536 + 4873296481 = 71756^2 + 69809^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022220017 - 26 = 10022219953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022219977 and 10022220004.

It is not a weakly prime, because it can be changed into another prime (10022220011) 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, 5011110008 + 5011110009.

It is an arithmetic number, because the mean of its divisors is an integer number (5011110009).

Almost surely, 210022220017 is an apocalyptic number.

It is an amenable number.

10022220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022220017 is an equidigital number, since it uses as much as digits as its factorization.

10022220017 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 10022220017 its reverse (71002222001), we get a palindrome (81024442018).

The spelling of 10022220017 in words is "ten billion, twenty-two million, two hundred twenty thousand, seventeen".