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217005011 is a prime number
BaseRepresentation
bin11001110111100…
…11101111010011
3120010022222220122
430323303233103
5421023130021
633311100455
75243340446
oct1473635723
9503288818
10217005011
11101548093
126081172b
1335c5c442
1420b6b65d
15140b7bab
hexcef3bd3

217005011 has 2 divisors, whose sum is σ = 217005012. Its totient is φ = 217005010.

The previous prime is 217005001. The next prime is 217005013. The reversal of 217005011 is 110500712.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 217005011 - 222 = 212810707 is a prime.

It is a super-2 number, since 2×2170050112 = 94182349598220242, which contains 22 as substring.

Together with 217005013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (217005013) 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, 108502505 + 108502506.

It is an arithmetic number, because the mean of its divisors is an integer number (108502506).

Almost surely, 2217005011 is an apocalyptic number.

217005011 is a deficient number, since it is larger than the sum of its proper divisors (1).

217005011 is an equidigital number, since it uses as much as digits as its factorization.

217005011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 217005011 is about 14731.0899460970. The cubic root of 217005011 is about 600.9291262056.

Adding to 217005011 its reverse (110500712), we get a palindrome (327505723).

The spelling of 217005011 in words is "two hundred seventeen million, five thousand, eleven".