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113312000041 is a prime number
BaseRepresentation
bin110100110000111101…
…0111110100000101001
3101211110220112000022021
41221201322332200221
53324030333000131
6124015501224441
711120656052152
oct1514172764051
9354426460267
10113312000041
1144067740829
1219b63b62121
13a8ba721246
1456ad004929
152e32c6ae11
hex1a61ebe829

113312000041 has 2 divisors, whose sum is σ = 113312000042. Its totient is φ = 113312000040.

The previous prime is 113312000033. The next prime is 113312000051. The reversal of 113312000041 is 140000213311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65702505625 + 47609494416 = 256325^2 + 218196^2 .

It is a cyclic number.

It is not a de Polignac number, because 113312000041 - 23 = 113312000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113311999979 and 113312000024.

It is not a weakly prime, because it can be changed into another prime (113312000051) 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, 56656000020 + 56656000021.

It is an arithmetic number, because the mean of its divisors is an integer number (56656000021).

Almost surely, 2113312000041 is an apocalyptic number.

It is an amenable number.

113312000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

113312000041 is an equidigital number, since it uses as much as digits as its factorization.

113312000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 113312000041 its reverse (140000213311), we get a palindrome (253312213352).

The spelling of 113312000041 in words is "one hundred thirteen billion, three hundred twelve million, forty-one", and thus it is an aban number.