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211304421217 is a prime number
BaseRepresentation
bin1100010011001010111…
…0011001011101100001
3202012102011112210010201
43010302232121131201
511430222412434332
6241023311025201
721160214642161
oct3046256313541
9665364483121
10211304421217
118168292317a
1234b5150b201
1316c06331b06
14a3275965a1
15576aae75e7
hex3132b99761

211304421217 has 2 divisors, whose sum is σ = 211304421218. Its totient is φ = 211304421216.

The previous prime is 211304421199. The next prime is 211304421253. The reversal of 211304421217 is 712124403112.

211304421217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151600430881 + 59703990336 = 389359^2 + 244344^2 .

It is a cyclic number.

It is not a de Polignac number, because 211304421217 - 223 = 211296032609 is a prime.

It is a super-2 number, since 2×2113044212172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211304421277) 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, 105652210608 + 105652210609.

It is an arithmetic number, because the mean of its divisors is an integer number (105652210609).

Almost surely, 2211304421217 is an apocalyptic number.

It is an amenable number.

211304421217 is a deficient number, since it is larger than the sum of its proper divisors (1).

211304421217 is an equidigital number, since it uses as much as digits as its factorization.

211304421217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 211304421217 its reverse (712124403112), we get a palindrome (923428824329).

The spelling of 211304421217 in words is "two hundred eleven billion, three hundred four million, four hundred twenty-one thousand, two hundred seventeen".