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115106605681 is a prime number
BaseRepresentation
bin110101100110011100…
…0110110101001110001
3102000002222101102102211
41223030320312221301
53341214242340211
6124513530012121
711213310001444
oct1531470665161
9360088342384
10115106605681
11448a8750591
121a384b77041
13ab15472b82
1457dd4b565b
152eda5aae21
hex1acce36a71

115106605681 has 2 divisors, whose sum is σ = 115106605682. Its totient is φ = 115106605680.

The previous prime is 115106605637. The next prime is 115106605717. The reversal of 115106605681 is 186506601511.

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., 80792377600 + 34314228081 = 284240^2 + 185241^2 .

It is a cyclic number.

It is not a de Polignac number, because 115106605681 - 27 = 115106605553 is a prime.

It is a super-4 number, since 4×1151066056814 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (115106605631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57553302840 + 57553302841.

It is an arithmetic number, because the mean of its divisors is an integer number (57553302841).

Almost surely, 2115106605681 is an apocalyptic number.

It is an amenable number.

115106605681 is a deficient number, since it is larger than the sum of its proper divisors (1).

115106605681 is an equidigital number, since it uses as much as digits as its factorization.

115106605681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 115106605681 in words is "one hundred fifteen billion, one hundred six million, six hundred five thousand, six hundred eighty-one".