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10012221017 is a prime number
BaseRepresentation
bin10010101001100011…
…00101111001011001
3221211202202112012122
421110301211321121
5131001112033032
64333300351025
7503053321511
oct112461457131
927752675178
1010012221017
114278701927
121b350a5475
13c373a8c46
146ada24841
153d8ec4012
hex254c65e59

10012221017 has 2 divisors, whose sum is σ = 10012221018. Its totient is φ = 10012221016.

The previous prime is 10012220993. The next prime is 10012221041. The reversal of 10012221017 is 71012221001.

10012221017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10012220993) and next prime (10012221041).

It can be written as a sum of positive squares in only one way, i.e., 7981456921 + 2030764096 = 89339^2 + 45064^2 .

It is an emirp because it is prime and its reverse (71012221001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10012221017 - 226 = 9945112153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012220986 and 10012221004.

It is not a weakly prime, because it can be changed into another prime (10012221097) 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, 5006110508 + 5006110509.

It is an arithmetic number, because the mean of its divisors is an integer number (5006110509).

Almost surely, 210012221017 is an apocalyptic number.

It is an amenable number.

10012221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012221017 is an equidigital number, since it uses as much as digits as its factorization.

10012221017 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 17.

Adding to 10012221017 its reverse (71012221001), we get a palindrome (81024442018).

The spelling of 10012221017 in words is "ten billion, twelve million, two hundred twenty-one thousand, seventeen".