Search a number
-
+
10472028821 is a prime number
BaseRepresentation
bin10011100000010111…
…00111101010010101
31000000210222011221022
421300023213222111
5132421314410241
64451043530525
7520335530162
oct116013475225
930023864838
1010472028821
114494207281
122043089a45
13cab72ab77
14714b17069
1541454d54b
hex2702e7a95

10472028821 has 2 divisors, whose sum is σ = 10472028822. Its totient is φ = 10472028820.

The previous prime is 10472028799. The next prime is 10472028829. The reversal of 10472028821 is 12882027401.

10472028821 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., 10464267025 + 7761796 = 102295^2 + 2786^2 .

It is a cyclic number.

It is not a de Polignac number, because 10472028821 - 26 = 10472028757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10472028829) 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, 5236014410 + 5236014411.

It is an arithmetic number, because the mean of its divisors is an integer number (5236014411).

Almost surely, 210472028821 is an apocalyptic number.

It is an amenable number.

10472028821 is a deficient number, since it is larger than the sum of its proper divisors (1).

10472028821 is an equidigital number, since it uses as much as digits as its factorization.

10472028821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14336, while the sum is 35.

The spelling of 10472028821 in words is "ten billion, four hundred seventy-two million, twenty-eight thousand, eight hundred twenty-one".