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212201011101181 is a prime number
BaseRepresentation
bin110000001111111011100101…
…111000110011110111111101
31000211100012220022120002221011
4300033323211320303313331
5210303200132320214211
62031151444305035221
762461005605442064
oct6017734570636775
91024305808502834
10212201011101181
1161682a41774663
121b971b89325b11
1391536145c394b
143a58825ac11db
15197ec7e0a9921
hexc0fee5e33dfd

212201011101181 has 2 divisors, whose sum is σ = 212201011101182. Its totient is φ = 212201011101180.

The previous prime is 212201011101169. The next prime is 212201011101187. The reversal of 212201011101181 is 181101110102212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196349735875225 + 15851275225956 = 14012485^2 + 3981366^2 .

It is a cyclic number.

It is not a de Polignac number, because 212201011101181 - 237 = 212063572147709 is a prime.

It is a super-2 number, since 2×2122010111011812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212201011101187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106100505550590 + 106100505550591.

It is an arithmetic number, because the mean of its divisors is an integer number (106100505550591).

Almost surely, 2212201011101181 is an apocalyptic number.

It is an amenable number.

212201011101181 is a deficient number, since it is larger than the sum of its proper divisors (1).

212201011101181 is an equidigital number, since it uses as much as digits as its factorization.

212201011101181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 22.

Adding to 212201011101181 its reverse (181101110102212), we get a palindrome (393302121203393).

The spelling of 212201011101181 in words is "two hundred twelve trillion, two hundred one billion, eleven million, one hundred one thousand, one hundred eighty-one".