Search a number
-
+
1071167117 is a prime number
BaseRepresentation
bin111111110110001…
…011011010001101
32202122120221001012
4333312023122031
54143204321432
6254142455005
735354525126
oct7766133215
92678527035
101071167117
114aa711789
1225a894465
13140bc6cc7
14a239504d
156408ccb2
hex3fd8b68d

1071167117 has 2 divisors, whose sum is σ = 1071167118. Its totient is φ = 1071167116.

The previous prime is 1071167099. The next prime is 1071167129. The reversal of 1071167117 is 7117611701.

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., 1069355401 + 1811716 = 32701^2 + 1346^2 .

It is a cyclic number.

It is not a de Polignac number, because 1071167117 - 218 = 1070904973 is a prime.

It is a super-2 number, since 2×10711671172 = 2294797985084183378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1071167147) 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, 535583558 + 535583559.

It is an arithmetic number, because the mean of its divisors is an integer number (535583559).

Almost surely, 21071167117 is an apocalyptic number.

It is an amenable number.

1071167117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1071167117 is an equidigital number, since it uses as much as digits as its factorization.

1071167117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2058, while the sum is 32.

The square root of 1071167117 is about 32728.6895093586. The cubic root of 1071167117 is about 1023.1808676102.

Adding to 1071167117 its reverse (7117611701), we get a palindrome (8188778818).

The spelling of 1071167117 in words is "one billion, seventy-one million, one hundred sixty-seven thousand, one hundred seventeen".