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115040315729 is a prime number
BaseRepresentation
bin110101100100011101…
…1111110100101010001
3101222221100122112201102
41223020323332211101
53341100310100404
6124503201114145
711211543356333
oct1531073764521
9358840575642
10115040315729
11448742939a9
121a366928955
13ab04802c51
1457d477b453
152ed486471e
hex1ac8efe951

115040315729 has 2 divisors, whose sum is σ = 115040315730. Its totient is φ = 115040315728.

The previous prime is 115040315717. The next prime is 115040315777. The reversal of 115040315729 is 927513040511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88625290000 + 26415025729 = 297700^2 + 162527^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115040315729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115040315692 and 115040315701.

It is not a weakly prime, because it can be changed into another prime (115040315029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57520157864 + 57520157865.

It is an arithmetic number, because the mean of its divisors is an integer number (57520157865).

Almost surely, 2115040315729 is an apocalyptic number.

It is an amenable number.

115040315729 is a deficient number, since it is larger than the sum of its proper divisors (1).

115040315729 is an equidigital number, since it uses as much as digits as its factorization.

115040315729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 115040315729 in words is "one hundred fifteen billion, forty million, three hundred fifteen thousand, seven hundred twenty-nine".