Search a number
-
+
10011017 is a prime number
BaseRepresentation
bin100110001100…
…000110001001
3200211121112102
4212030012021
510030323032
6554323145
7151043432
oct46140611
920747472
1010011017
115718475
1234294b5
1320c68a3
141488489
15d2b362
hex98c189

10011017 has 2 divisors, whose sum is σ = 10011018. Its totient is φ = 10011016.

The previous prime is 10011013. The next prime is 10011037. The reversal of 10011017 is 71011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10010896 + 121 = 3164^2 + 11^2 .

It is an emirp because it is prime and its reverse (71011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011017 - 22 = 10011013 is a prime.

It is a super-2 number, since 2×100110172 = 200440922748578, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010989 and 10011007.

It is not a weakly prime, because it can be changed into another prime (10011013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005508 + 5005509.

It is an arithmetic number, because the mean of its divisors is an integer number (5005509).

Almost surely, 210011017 is an apocalyptic number.

It is an amenable number.

10011017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011017 is an equidigital number, since it uses as much as digits as its factorization.

10011017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 10011017 is about 3164.0191213076. The cubic root of 10011017 is about 215.5225579894.

Adding to 10011017 its reverse (71011001), we get a palindrome (81022018).

The spelling of 10011017 in words is "ten million, eleven thousand, seventeen".