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10022012017 is a prime number
BaseRepresentation
bin10010101010101101…
…11100010001110001
3221212110011221221021
421111112330101301
5131011113341032
64334250255441
7503232460633
oct112526742161
927773157837
1010022012017
114283189a66
121b38427581
13c39426634
146b1052a53
153d9caa097
hex2555bc471

10022012017 has 2 divisors, whose sum is σ = 10022012018. Its totient is φ = 10022012016.

The previous prime is 10022011949. The next prime is 10022012069. The reversal of 10022012017 is 71021022001.

10022012017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8674314496 + 1347697521 = 93136^2 + 36711^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022012017 - 211 = 10022009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022912017) 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, 5011006008 + 5011006009.

It is an arithmetic number, because the mean of its divisors is an integer number (5011006009).

Almost surely, 210022012017 is an apocalyptic number.

It is an amenable number.

10022012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022012017 is an equidigital number, since it uses as much as digits as its factorization.

10022012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 10022012017 its reverse (71021022001), we get a palindrome (81043034018).

The spelling of 10022012017 in words is "ten billion, twenty-two million, twelve thousand, seventeen".