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10019983217 is a prime number
BaseRepresentation
bin10010101010011110…
…01100111101110001
3221212022100212221112
421111033030331301
5131010103430332
64334135003105
7503206311026
oct112517147561
927768325845
1010019983217
114282023772
121b37809495
13c38b9606a
146b0a8554d
153d9a08db2
hex2553ccf71

10019983217 has 2 divisors, whose sum is σ = 10019983218. Its totient is φ = 10019983216.

The previous prime is 10019983201. The next prime is 10019983247. The reversal of 10019983217 is 71238991001.

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., 8309416336 + 1710566881 = 91156^2 + 41359^2 .

It is a cyclic number.

It is not a de Polignac number, because 10019983217 - 24 = 10019983201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10019983247) 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, 5009991608 + 5009991609.

It is an arithmetic number, because the mean of its divisors is an integer number (5009991609).

Almost surely, 210019983217 is an apocalyptic number.

It is an amenable number.

10019983217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10019983217 is an equidigital number, since it uses as much as digits as its factorization.

10019983217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 41.

The spelling of 10019983217 in words is "ten billion, nineteen million, nine hundred eighty-three thousand, two hundred seventeen".