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217006091 is a prime number
BaseRepresentation
bin11001110111101…
…00000000001011
3120010100001101122
430323310000023
5421023143331
633311105455
75243343551
oct1473640013
9503301348
10217006091
11101548985
126081228b
1335c5ca93
1420b6bbd1
15140b817b
hexcef400b

217006091 has 2 divisors, whose sum is σ = 217006092. Its totient is φ = 217006090.

The previous prime is 217006067. The next prime is 217006093. The reversal of 217006091 is 190600712.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 217006091 - 210 = 217005067 is a prime.

It is a super-2 number, since 2×2170060912 = 94183287062200562, which contains 22 as substring.

Together with 217006093, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 217006091.

It is not a weakly prime, because it can be changed into another prime (217006093) 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, 108503045 + 108503046.

It is an arithmetic number, because the mean of its divisors is an integer number (108503046).

Almost surely, 2217006091 is an apocalyptic number.

217006091 is a deficient number, since it is larger than the sum of its proper divisors (1).

217006091 is an equidigital number, since it uses as much as digits as its factorization.

217006091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 217006091 is about 14731.1266032167. The cubic root of 217006091 is about 600.9301231140.

The spelling of 217006091 in words is "two hundred seventeen million, six thousand, ninety-one".