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212213144141 is a prime number
BaseRepresentation
bin1100010110100011100…
…0111001101001001101
3202021202111110200122022
43011220320321221031
511434103031103031
6241253412055525
721221560651145
oct3055070715115
9667674420568
10212213144141
1181aa9873159
12351659045a5
131701c69099b
14a3b2143925
1557c079897b
hex3168e39a4d

212213144141 has 2 divisors, whose sum is σ = 212213144142. Its totient is φ = 212213144140.

The previous prime is 212213144107. The next prime is 212213144147. The reversal of 212213144141 is 141441312212.

212213144141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 183137778916 + 29075365225 = 427946^2 + 170515^2 .

It is a cyclic number.

It is not a de Polignac number, because 212213144141 - 222 = 212208949837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 212213144141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212213144147) 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, 106106572070 + 106106572071.

It is an arithmetic number, because the mean of its divisors is an integer number (106106572071).

Almost surely, 2212213144141 is an apocalyptic number.

It is an amenable number.

212213144141 is a deficient number, since it is larger than the sum of its proper divisors (1).

212213144141 is an equidigital number, since it uses as much as digits as its factorization.

212213144141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1536, while the sum is 26.

Adding to 212213144141 its reverse (141441312212), we get a palindrome (353654456353).

The spelling of 212213144141 in words is "two hundred twelve billion, two hundred thirteen million, one hundred forty-four thousand, one hundred forty-one".