Search a number
-
+
115205000117 is a prime number
BaseRepresentation
bin110101101001011000…
…0001100101110110101
3102000100211112101020012
41223102300030232311
53341414440000432
6124531402550005
711215613225624
oct1532260145665
9360324471205
10115205000117
11449492457a9
121a3b1b08305
13ab2c97392c
14580c5a96bb
152ee4044cb2
hex1ad2c0cbb5

115205000117 has 2 divisors, whose sum is σ = 115205000118. Its totient is φ = 115205000116.

The previous prime is 115205000111. The next prime is 115205000143. The reversal of 115205000117 is 711000502511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62081203921 + 53123796196 = 249161^2 + 230486^2 .

It is a cyclic number.

It is not a de Polignac number, because 115205000117 - 224 = 115188222901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115205000092 and 115205000101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115205000111) 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, 57602500058 + 57602500059.

It is an arithmetic number, because the mean of its divisors is an integer number (57602500059).

Almost surely, 2115205000117 is an apocalyptic number.

It is an amenable number.

115205000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

115205000117 is an equidigital number, since it uses as much as digits as its factorization.

115205000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 23.

Adding to 115205000117 its reverse (711000502511), we get a palindrome (826205502628).

The spelling of 115205000117 in words is "one hundred fifteen billion, two hundred five million, one hundred seventeen", and thus it is an aban number.