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10009838819 is a prime number
BaseRepresentation
bin10010101001010001…
…00000010011100011
3221211121021111110002
421110220200103203
5131000004320234
64333133330215
7503024140361
oct112450402343
927747244402
1010009838819
114277325072
121b3433696b
13c36a53866
146ad5a4631
153d8ba327e
hex254a204e3

10009838819 has 2 divisors, whose sum is σ = 10009838820. Its totient is φ = 10009838818.

The previous prime is 10009838779. The next prime is 10009838821. The reversal of 10009838819 is 91883890001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10009838819 - 228 = 9741403363 is a prime.

It is a super-2 number, since 2×100098388192 (a number of 21 digits) contains 22 as substring.

Together with 10009838821, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10009838849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5004919409 + 5004919410.

It is an arithmetic number, because the mean of its divisors is an integer number (5004919410).

Almost surely, 210009838819 is an apocalyptic number.

10009838819 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009838819 is an equidigital number, since it uses as much as digits as its factorization.

10009838819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 47.

The spelling of 10009838819 in words is "ten billion, nine million, eight hundred thirty-eight thousand, eight hundred nineteen".