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10829573219 is a prime number
BaseRepresentation
bin10100001010111111…
…00010110001100011
31000221201202022122102
422011133202301203
5134134332320334
64550335201015
7532236565523
oct120537426143
930851668572
1010829573219
114658014713
12212297616b
131037825cba
1474a3c9683
15435b2767e
hex2857e2c63

10829573219 has 2 divisors, whose sum is σ = 10829573220. Its totient is φ = 10829573218.

The previous prime is 10829573149. The next prime is 10829573239. The reversal of 10829573219 is 91237592801.

It is a happy number.

10829573219 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 is a cyclic number.

It is not a de Polignac number, because 10829573219 - 212 = 10829569123 is a prime.

It is a super-2 number, since 2×108295732192 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10829573239) 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, 5414786609 + 5414786610.

It is an arithmetic number, because the mean of its divisors is an integer number (5414786610).

Almost surely, 210829573219 is an apocalyptic number.

10829573219 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829573219 is an equidigital number, since it uses as much as digits as its factorization.

10829573219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 10829573219 in words is "ten billion, eight hundred twenty-nine million, five hundred seventy-three thousand, two hundred nineteen".