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10044244033 is a prime number
BaseRepresentation
bin10010101101010111…
…10000000001000001
3221221000000110112021
421112223300001001
5131032311302113
64340403001441
7503622444205
oct112653600101
927830013467
1010044244033
11429479422a
121b43969281
13c40c0b985
146b3d9cb05
153dbbec48d
hex256af0041

10044244033 has 2 divisors, whose sum is σ = 10044244034. Its totient is φ = 10044244032.

The previous prime is 10044244009. The next prime is 10044244039. The reversal of 10044244033 is 33044244001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9094864689 + 949379344 = 95367^2 + 30812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10044244033 is a prime.

It is a super-2 number, since 2×100442440332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10044243989 and 10044244007.

It is not a weakly prime, because it can be changed into another prime (10044244039) 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, 5022122016 + 5022122017.

It is an arithmetic number, because the mean of its divisors is an integer number (5022122017).

Almost surely, 210044244033 is an apocalyptic number.

It is an amenable number.

10044244033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044244033 is an equidigital number, since it uses as much as digits as its factorization.

10044244033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 10044244033 its reverse (33044244001), we get a palindrome (43088488034).

The spelling of 10044244033 in words is "ten billion, forty-four million, two hundred forty-four thousand, thirty-three".