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10044122329 is a prime number
BaseRepresentation
bin10010101101010110…
…10010010011011001
3221220222210021120201
421112223102103121
5131032243403304
64340400222201
7503621426323
oct112653222331
927828707521
1010044122329
11429471084a
121b4390a961
13c40b98467
146b3d6a613
153dbbc63a4
hex256ad24d9

10044122329 has 2 divisors, whose sum is σ = 10044122330. Its totient is φ = 10044122328.

The previous prime is 10044122303. The next prime is 10044122467. The reversal of 10044122329 is 92322144001.

10044122329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5024683225 + 5019439104 = 70885^2 + 70848^2 .

It is a cyclic number.

It is not a de Polignac number, because 10044122329 - 29 = 10044121817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10044122297 and 10044122306.

It is not a weakly prime, because it can be changed into another prime (10044122029) 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, 5022061164 + 5022061165.

It is an arithmetic number, because the mean of its divisors is an integer number (5022061165).

Almost surely, 210044122329 is an apocalyptic number.

It is an amenable number.

10044122329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044122329 is an equidigital number, since it uses as much as digits as its factorization.

10044122329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10044122329 in words is "ten billion, forty-four million, one hundred twenty-two thousand, three hundred twenty-nine".