Search a number
-
+
1017110161 is a prime number
BaseRepresentation
bin111100100111111…
…101111010010001
32121212212112211201
4330213331322101
54040340011121
6244532111201
734130202514
oct7447757221
92555775751
101017110161
1148214aa11
12244765501
1313294b142
1499122d7b
155e460e91
hex3c9fde91

1017110161 has 2 divisors, whose sum is σ = 1017110162. Its totient is φ = 1017110160.

The previous prime is 1017110123. The next prime is 1017110167. The reversal of 1017110161 is 1610117101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964475136 + 52635025 = 31056^2 + 7255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017110161 - 29 = 1017109649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1017110167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508555080 + 508555081.

It is an arithmetic number, because the mean of its divisors is an integer number (508555081).

Almost surely, 21017110161 is an apocalyptic number.

It is an amenable number.

1017110161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017110161 is an equidigital number, since it uses as much as digits as its factorization.

1017110161 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 19.

The square root of 1017110161 is about 31892.1645706277. The cubic root of 1017110161 is about 1005.6711640989.

Adding to 1017110161 its reverse (1610117101), we get a palindrome (2627227262).

The spelling of 1017110161 in words is "one billion, seventeen million, one hundred ten thousand, one hundred sixty-one".