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412717117 is a prime number
BaseRepresentation
bin11000100110011…
…001000000111101
31001202121012110011
4120212121000331
51321123421432
6104541543221
713141015621
oct3046310075
91052535404
10412717117
111a1a7152a
12b6274b11
1367674b17
143cb55181
1526376847
hex1899903d

412717117 has 2 divisors, whose sum is σ = 412717118. Its totient is φ = 412717116.

The previous prime is 412717103. The next prime is 412717121. The reversal of 412717117 is 711717214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 340993156 + 71723961 = 18466^2 + 8469^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412717117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412717147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206358558 + 206358559.

It is an arithmetic number, because the mean of its divisors is an integer number (206358559).

Almost surely, 2412717117 is an apocalyptic number.

It is an amenable number.

412717117 is a deficient number, since it is larger than the sum of its proper divisors (1).

412717117 is an equidigital number, since it uses as much as digits as its factorization.

412717117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2744, while the sum is 31.

The square root of 412717117 is about 20315.4403594901. The cubic root of 412717117 is about 744.5333576079.

The spelling of 412717117 in words is "four hundred twelve million, seven hundred seventeen thousand, one hundred seventeen".