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10034040221 is a prime number
BaseRepresentation
bin10010101100001001…
…10100110110011101
3221220021211001112022
421112010310312131
5131022203241341
64335400145525
7503436635402
oct112604646635
927807731468
1010034040221
114289a54a27
121b404682a5
13c3ba7840a
146b28a42a9
153dad83e4b
hex256134d9d

10034040221 has 2 divisors, whose sum is σ = 10034040222. Its totient is φ = 10034040220.

The previous prime is 10034040197. The next prime is 10034040229. The reversal of 10034040221 is 12204043001.

10034040221 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 can be written as a sum of positive squares in only one way, i.e., 6896472025 + 3137568196 = 83045^2 + 56014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10034040221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10034040221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034040229) 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, 5017020110 + 5017020111.

It is an arithmetic number, because the mean of its divisors is an integer number (5017020111).

Almost surely, 210034040221 is an apocalyptic number.

It is an amenable number.

10034040221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034040221 is an equidigital number, since it uses as much as digits as its factorization.

10034040221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10034040221 its reverse (12204043001), we get a palindrome (22238083222).

The spelling of 10034040221 in words is "ten billion, thirty-four million, forty thousand, two hundred twenty-one".