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212431313177 is a prime number
BaseRepresentation
bin1100010111010111100…
…1001001100100011001
3202022022200222211021222
43011311321021210121
511440024404010202
6241331204141425
721230150240366
oct3056571114431
9668280884258
10212431313177
1182100a35846
1235206997875
1317055939ba5
14a3d30d546d
1557d49e14a2
hex3175e49919

212431313177 has 2 divisors, whose sum is σ = 212431313178. Its totient is φ = 212431313176.

The previous prime is 212431313161. The next prime is 212431313207. The reversal of 212431313177 is 771313134212.

212431313177 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., 138362424841 + 74068888336 = 371971^2 + 272156^2 .

It is a cyclic number.

It is not a de Polignac number, because 212431313177 - 24 = 212431313161 is a prime.

It is not a weakly prime, because it can be changed into another prime (212431310177) 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, 106215656588 + 106215656589.

It is an arithmetic number, because the mean of its divisors is an integer number (106215656589).

Almost surely, 2212431313177 is an apocalyptic number.

It is an amenable number.

212431313177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212431313177 is an equidigital number, since it uses as much as digits as its factorization.

212431313177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 35.

Adding to 212431313177 its reverse (771313134212), we get a palindrome (983744447389).

The spelling of 212431313177 in words is "two hundred twelve billion, four hundred thirty-one million, three hundred thirteen thousand, one hundred seventy-seven".