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10044260033 is a prime number
BaseRepresentation
bin10010101101010111…
…10011111011000001
3221221000001021110212
421112223303323001
5131032312310113
64340403203505
7503622541643
oct112653637301
927830037425
1010044260033
1142947a5255
121b43976595
13c40c16042
146b3da4893
153dbc020a8
hex256af3ec1

10044260033 has 2 divisors, whose sum is σ = 10044260034. Its totient is φ = 10044260032.

The previous prime is 10044260027. The next prime is 10044260053. The reversal of 10044260033 is 33006244001.

It is a happy number.

10044260033 is digitally balanced in base 3, 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., 5503117489 + 4541142544 = 74183^2 + 67388^2 .

It is a cyclic number.

It is not a de Polignac number, because 10044260033 - 226 = 9977151169 is a prime.

It is a super-2 number, since 2×100442600332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10044259990 and 10044260008.

It is not a weakly prime, because it can be changed into another prime (10044260053) 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, 5022130016 + 5022130017.

It is an arithmetic number, because the mean of its divisors is an integer number (5022130017).

Almost surely, 210044260033 is an apocalyptic number.

It is an amenable number.

10044260033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10044260033 is an equidigital number, since it uses as much as digits as its factorization.

10044260033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

The spelling of 10044260033 in words is "ten billion, forty-four million, two hundred sixty thousand, thirty-three".