Search a number
-
+
20165017 is a prime number
BaseRepresentation
bin100110011101…
…1000110011001
31101221111012111
41030323012121
520130240032
62000112321
7333254065
oct114730631
941844174
1020165017
1110423304
1269056a1
134240582
14296caa5
151b84c47
hex133b199

20165017 has 2 divisors, whose sum is σ = 20165018. Its totient is φ = 20165016.

The previous prime is 20165003. The next prime is 20165027. The reversal of 20165017 is 71056102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18974736 + 1190281 = 4356^2 + 1091^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20165017 is a prime.

It is a super-2 number, since 2×201650172 = 813255821220578, which contains 22 as substring.

It is equal to p1280416 and since 20165017 and 1280416 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (20165027) 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, 10082508 + 10082509.

It is an arithmetic number, because the mean of its divisors is an integer number (10082509).

Almost surely, 220165017 is an apocalyptic number.

It is an amenable number.

20165017 is a deficient number, since it is larger than the sum of its proper divisors (1).

20165017 is an equidigital number, since it uses as much as digits as its factorization.

20165017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 20165017 is about 4490.5475167289. The cubic root of 20165017 is about 272.1862595712.

The spelling of 20165017 in words is "twenty million, one hundred sixty-five thousand, seventeen".