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2946112097 is a prime number
BaseRepresentation
bin1010111110011010…
…0001101001100001
321121022122000000212
42233212201221201
522013201041342
61204201223505
7133002353045
oct25746415141
97538560025
102946112097
111282004695
126a2791b95
1337c4975c6
141dd3ba025
1512399c182
hexaf9a1a61

2946112097 has 2 divisors, whose sum is σ = 2946112098. Its totient is φ = 2946112096.

The previous prime is 2946112079. The next prime is 2946112123. The reversal of 2946112097 is 7902116492.

2946112097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (2946112079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2325554176 + 620557921 = 48224^2 + 24911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2946112097 - 216 = 2946046561 is a prime.

It is not a weakly prime, because it can be changed into another prime (2946112397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1473056048 + 1473056049.

It is an arithmetic number, because the mean of its divisors is an integer number (1473056049).

Almost surely, 22946112097 is an apocalyptic number.

It is an amenable number.

2946112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2946112097 is an equidigital number, since it uses as much as digits as its factorization.

2946112097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 2946112097 is about 54278.0996074844. The cubic root of 2946112097 is about 1433.5618085341.

The spelling of 2946112097 in words is "two billion, nine hundred forty-six million, one hundred twelve thousand, ninety-seven".