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212011220212101 = 3389193345642899
BaseRepresentation
bin110000001101001010110101…
…011110000001100110000101
31000210200002000110111222211000
4300031022311132001212011
5210242042434333241401
62030524335431403513
762441206451501622
oct6015126536014605
91023602013458730
10212011220212101
116160a4a9763612
121b941240823599
13913b7593b920b
143a4d57d837349
151979d7204c186
hexc0d2b5781985

212011220212101 has 32 divisors (see below), whose sum is σ = 317784126960000. Its totient is φ = 139680413034624.

The previous prime is 212011220212063. The next prime is 212011220212153. The reversal of 212011220212101 is 101212022110212.

212011220212101 is a `hidden beast` number, since 2 + 120 + 11 + 220 + 212 + 101 = 666.

It is not a de Polignac number, because 212011220212101 - 235 = 211976860473733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011220212501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18176451 + ... + 27466448.

It is an arithmetic number, because the mean of its divisors is an integer number (9930753967500).

Almost surely, 2212011220212101 is an apocalyptic number.

It is an amenable number.

212011220212101 is a deficient number, since it is larger than the sum of its proper divisors (105772906747899).

212011220212101 is a wasteful number, since it uses less digits than its factorization.

212011220212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45644930 (or 45644924 counting only the distinct ones).

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

Adding to 212011220212101 its reverse (101212022110212), we get a palindrome (313223242322313).

The spelling of 212011220212101 in words is "two hundred twelve trillion, eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 27 89 267 801 1933 2403 5799 17397 52191 172037 516111 1548333 4644999 45642899 136928697 410786091 1232358273 4062218011 12186654033 36559962099 88227723767 109679886297 264683171301 794049513903 2382148541709 7852267415263 23556802245789 70670406737367 212011220212101