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211121200217 is a prime number
BaseRepresentation
bin1100010010011111001…
…1011101110001011001
3202011221101210012011202
43010213303131301121
511424334011401332
6240553204003545
721152531410154
oct3044763356131
9664841705152
10211121200217
1181599460564
1234b000905b5
1316ba73a0b15
14a30b100c9b
1557599a4a62
hex3127cddc59

211121200217 has 2 divisors, whose sum is σ = 211121200218. Its totient is φ = 211121200216.

The previous prime is 211121200211. The next prime is 211121200253. The reversal of 211121200217 is 712002121112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175007518921 + 36113681296 = 418339^2 + 190036^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121200217 - 26 = 211121200153 is a prime.

It is a super-2 number, since 2×2111212002172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211121200211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560600108 + 105560600109.

It is an arithmetic number, because the mean of its divisors is an integer number (105560600109).

Almost surely, 2211121200217 is an apocalyptic number.

It is an amenable number.

211121200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121200217 is an equidigital number, since it uses as much as digits as its factorization.

211121200217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 211121200217 its reverse (712002121112), we get a palindrome (923123321329).

The spelling of 211121200217 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred thousand, two hundred seventeen".