Search a number
-
+
10034041217 is a prime number
BaseRepresentation
bin10010101100001001…
…10101000110000001
3221220021211002220012
421112010311012001
5131022203304332
64335400154305
7503436641324
oct112604650601
927807732805
1010034041217
114289a55752
121b40468995
13c3ba789c5
146b28a47bb
153dad843b2
hex256135181

10034041217 has 2 divisors, whose sum is σ = 10034041218. Its totient is φ = 10034041216.

The previous prime is 10034041207. The next prime is 10034041231. The reversal of 10034041217 is 71214043001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8746738576 + 1287302641 = 93524^2 + 35879^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034041217 - 216 = 10033975681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10034041192 and 10034041201.

It is not a weakly prime, because it can be changed into another prime (10034041207) 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, 5017020608 + 5017020609.

It is an arithmetic number, because the mean of its divisors is an integer number (5017020609).

Almost surely, 210034041217 is an apocalyptic number.

It is an amenable number.

10034041217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034041217 is an equidigital number, since it uses as much as digits as its factorization.

10034041217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 10034041217 its reverse (71214043001), we get a palindrome (81248084218).

The spelling of 10034041217 in words is "ten billion, thirty-four million, forty-one thousand, two hundred seventeen".