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212010205817 is a prime number
BaseRepresentation
bin1100010101110011001…
…0110000001001111001
3202021020100121100121002
43011130302300021321
511433144103041232
6241221322254345
721213545005214
oct3053462601171
9667210540532
10212010205817
1181a05263633
12351099573b5
1316cb9618137
14a3931d877b
1557aca5db62
hex315ccb0279

212010205817 has 2 divisors, whose sum is σ = 212010205818. Its totient is φ = 212010205816.

The previous prime is 212010205793. The next prime is 212010205819. The reversal of 212010205817 is 718502010212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116270088256 + 95740117561 = 340984^2 + 309419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212010205817 is a prime.

Together with 212010205819, 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 212010205817.

It is not a weakly prime, because it can be changed into another prime (212010205819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106005102908 + 106005102909.

It is an arithmetic number, because the mean of its divisors is an integer number (106005102909).

Almost surely, 2212010205817 is an apocalyptic number.

It is an amenable number.

212010205817 is a deficient number, since it is larger than the sum of its proper divisors (1).

212010205817 is an equidigital number, since it uses as much as digits as its factorization.

212010205817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2240, while the sum is 29.

The spelling of 212010205817 in words is "two hundred twelve billion, ten million, two hundred five thousand, eight hundred seventeen".