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212213144177 is a prime number
BaseRepresentation
bin1100010110100011100…
…0111001101001110001
3202021202111110200200122
43011220320321221301
511434103031103202
6241253412100025
721221560651226
oct3055070715161
9667674420618
10212213144177
1181aa9873191
1235165904615
131701c6909c8
14a3b214394d
1557c07989a2
hex3168e39a71

212213144177 has 2 divisors, whose sum is σ = 212213144178. Its totient is φ = 212213144176.

The previous prime is 212213144173. The next prime is 212213144279. The reversal of 212213144177 is 771441312212.

212213144177 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., 187411933921 + 24801210256 = 432911^2 + 157484^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213144177 - 22 = 212213144173 is a prime.

It is a super-2 number, since 2×2122131441772 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (212213144173) 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, 106106572088 + 106106572089.

It is an arithmetic number, because the mean of its divisors is an integer number (106106572089).

Almost surely, 2212213144177 is an apocalyptic number.

It is an amenable number.

212213144177 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213144177 is an equidigital number, since it uses as much as digits as its factorization.

212213144177 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18816, while the sum is 35.

Adding to 212213144177 its reverse (771441312212), we get a palindrome (983654456389).

The spelling of 212213144177 in words is "two hundred twelve billion, two hundred thirteen million, one hundred forty-four thousand, one hundred seventy-seven".