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212221200211101 = 342620014817421
BaseRepresentation
bin110000010000001110011001…
…010000001001110010011101
31000211102011000022221011020000
4300100032121100021302131
5210304013004223223401
62031205023511444513
762462322115155624
oct6020163120116235
91024364008834200
10212221200211101
1161690561a18774
121b975a82686739
1391554b1211b33
143a597bd1526bb
15198056172d186
hexc10399409c9d

212221200211101 has 10 divisors (see below), whose sum is σ = 317021792908062. Its totient is φ = 141480800140680.

The previous prime is 212221200211093. The next prime is 212221200211201. The reversal of 212221200211101 is 101112002122212.

212221200211101 is a `hidden beast` number, since 21 + 2 + 221 + 200 + 211 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165778474499001 + 46442725712100 = 12875499^2 + 6814890^2 .

It is not a de Polignac number, because 212221200211101 - 23 = 212221200211093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221200211201) 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 in 9 ways as a sum of consecutive naturals, for example, 1310007408630 + ... + 1310007408791.

Almost surely, 2212221200211101 is an apocalyptic number.

It is an amenable number.

212221200211101 is a deficient number, since it is larger than the sum of its proper divisors (104800592696961).

212221200211101 is an equidigital number, since it uses as much as digits as its factorization.

212221200211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620014817433 (or 2620014817424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212221200211101 its reverse (101112002122212), we get a palindrome (313333202333313).

The spelling of 212221200211101 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred million, two hundred eleven thousand, one hundred one".

Divisors: 1 3 9 27 81 2620014817421 7860044452263 23580133356789 70740400070367 212221200211101