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10217246009 is a prime number
BaseRepresentation
bin10011000001111111…
…01100110100111001
3222101001112212121212
421200333230310321
5131411103333014
64405503012505
7511123105145
oct114077546471
928331485555
1010217246009
114373407173
121b9189a135
13c6aa024c9
146ccd54225
153ebec223e
hex260fecd39

10217246009 has 2 divisors, whose sum is σ = 10217246010. Its totient is φ = 10217246008.

The previous prime is 10217245993. The next prime is 10217246087. The reversal of 10217246009 is 90064271201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9268297984 + 948948025 = 96272^2 + 30805^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217246009 - 24 = 10217245993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10217246309) 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, 5108623004 + 5108623005.

It is an arithmetic number, because the mean of its divisors is an integer number (5108623005).

Almost surely, 210217246009 is an apocalyptic number.

It is an amenable number.

10217246009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217246009 is an equidigital number, since it uses as much as digits as its factorization.

10217246009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 10217246009 in words is "ten billion, two hundred seventeen million, two hundred forty-six thousand, nine".