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10221102317 is a prime number
BaseRepresentation
bin10011000010011100…
…11010010011101101
3222101022210210111002
421201032122103231
5131413100233232
64410121410045
7511200636056
oct114116322355
928338723432
1010221102317
1143756004a8
121b93039925
13c6b75284a
146cd67972d
153ec4d4b62
hex26139a4ed

10221102317 has 2 divisors, whose sum is σ = 10221102318. Its totient is φ = 10221102316.

The previous prime is 10221102301. The next prime is 10221102323. The reversal of 10221102317 is 71320112201.

10221102317 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., 10187066761 + 34035556 = 100931^2 + 5834^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221102317 - 24 = 10221102301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221102517) 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, 5110551158 + 5110551159.

It is an arithmetic number, because the mean of its divisors is an integer number (5110551159).

Almost surely, 210221102317 is an apocalyptic number.

It is an amenable number.

10221102317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221102317 is an equidigital number, since it uses as much as digits as its factorization.

10221102317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10221102317 its reverse (71320112201), we get a palindrome (81541214518).

The spelling of 10221102317 in words is "ten billion, two hundred twenty-one million, one hundred two thousand, three hundred seventeen".