Search a number
-
+
10010130217 is a prime number
BaseRepresentation
bin10010101001010011…
…00111011100101001
3221211121211022011121
421110221213130221
5131000043131332
64333143455241
7503026463053
oct112451473451
927747738147
1010010130217
114277503a9a
121b34457521
13c36b26399
146ad63c8d3
153d8c0e797
hex254a67729

10010130217 has 2 divisors, whose sum is σ = 10010130218. Its totient is φ = 10010130216.

The previous prime is 10010130167. The next prime is 10010130253. The reversal of 10010130217 is 71203101001.

10010130217 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., 5361754176 + 4648376041 = 73224^2 + 68179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010130217 is a prime.

It is a super-2 number, since 2×100101302172 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10010130217.

It is not a weakly prime, because it can be changed into another prime (10010110217) 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, 5005065108 + 5005065109.

It is an arithmetic number, because the mean of its divisors is an integer number (5005065109).

Almost surely, 210010130217 is an apocalyptic number.

It is an amenable number.

10010130217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010130217 is an equidigital number, since it uses as much as digits as its factorization.

10010130217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10010130217 its reverse (71203101001), we get a palindrome (81213231218).

The spelling of 10010130217 in words is "ten billion, ten million, one hundred thirty thousand, two hundred seventeen".