Search a number
-
+
8116208129 is a prime number
BaseRepresentation
bin1111000111100001…
…11000001000000001
3202221122002002111002
413203300320020001
5113110222130004
63421210301345
7405061426241
oct74360701001
922848062432
108116208129
11349542a327
1216a6127855
139c4640123
1456dcb7b21
1532780261e
hex1e3c38201

8116208129 has 2 divisors, whose sum is σ = 8116208130. Its totient is φ = 8116208128.

The previous prime is 8116208077. The next prime is 8116208137. The reversal of 8116208129 is 9218026118.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4896780529 + 3219427600 = 69977^2 + 56740^2 .

It is a cyclic number.

It is not a de Polignac number, because 8116208129 - 220 = 8115159553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8116208092 and 8116208101.

It is not a weakly prime, because it can be changed into another prime (8116208189) 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, 4058104064 + 4058104065.

It is an arithmetic number, because the mean of its divisors is an integer number (4058104065).

Almost surely, 28116208129 is an apocalyptic number.

It is an amenable number.

8116208129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8116208129 is an equidigital number, since it uses as much as digits as its factorization.

8116208129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 8116208129 is about 90090.0001609502. Note that the first 3 decimals coincide. The cubic root of 8116208129 is about 2009.6374954950.

The spelling of 8116208129 in words is "eight billion, one hundred sixteen million, two hundred eight thousand, one hundred twenty-nine".