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212010212177 is a prime number
BaseRepresentation
bin1100010101110011001…
…0110001101101010001
3202021020100121200022122
43011130302301231101
511433144103242202
6241221322344025
721213545032601
oct3053462615521
9667210550278
10212010212177
1181a05268395
123510995b015
1316cb961acba
14a3931dac01
1557aca609a2
hex315ccb1b51

212010212177 has 2 divisors, whose sum is σ = 212010212178. Its totient is φ = 212010212176.

The previous prime is 212010212173. The next prime is 212010212233. The reversal of 212010212177 is 771212010212.

212010212177 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., 173402285056 + 38607927121 = 416416^2 + 196489^2 .

It is a cyclic number.

It is not a de Polignac number, because 212010212177 - 22 = 212010212173 is a prime.

It is not a weakly prime, because it can be changed into another prime (212010212173) 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, 106005106088 + 106005106089.

It is an arithmetic number, because the mean of its divisors is an integer number (106005106089).

Almost surely, 2212010212177 is an apocalyptic number.

It is an amenable number.

212010212177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212010212177 is an equidigital number, since it uses as much as digits as its factorization.

212010212177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 212010212177 its reverse (771212010212), we get a palindrome (983222222389).

The spelling of 212010212177 in words is "two hundred twelve billion, ten million, two hundred twelve thousand, one hundred seventy-seven".