Search a number
-
+
10417117 is a prime number
BaseRepresentation
bin100111101111…
…001111011101
3201121020121011
4213233033131
510131321432
61011135221
7154354414
oct47571735
921536534
1010417117
115975597
1235a4511
132209699
14155247b
15dab847
hex9ef3dd

10417117 has 2 divisors, whose sum is σ = 10417118. Its totient is φ = 10417116.

The previous prime is 10417109. The next prime is 10417171. The reversal of 10417117 is 71171401.

Together with next prime (10417171) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7901721 + 2515396 = 2811^2 + 1586^2 .

It is a cyclic number.

It is not a de Polignac number, because 10417117 - 23 = 10417109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10412117) 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, 5208558 + 5208559.

It is an arithmetic number, because the mean of its divisors is an integer number (5208559).

Almost surely, 210417117 is an apocalyptic number.

It is an amenable number.

10417117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10417117 is an equidigital number, since it uses as much as digits as its factorization.

10417117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 196, while the sum is 22.

The square root of 10417117 is about 3227.5558864255. Note that the first 3 decimals coincide. The cubic root of 10417117 is about 218.3982633579.

Adding to 10417117 its reverse (71171401), we get a palindrome (81588518).

The spelling of 10417117 in words is "ten million, four hundred seventeen thousand, one hundred seventeen".