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212201122012011 = 321121711462276347
BaseRepresentation
bin110000001111111011101100…
…011111111001101101101011
31000211100020012001020221222200
4300033323230133321231223
5210303200344213341021
62031151503310151243
762461011423246216
oct6017735437715553
91024306161227880
10212201122012011
1161682a99338600
121b971bba4b2523
139153631587762
143a5883671277d
15197ec88bb7126
hexc0feec7f9b6b

212201122012011 has 36 divisors (see below), whose sum is σ = 356728964502456. Its totient is φ = 121041638213760.

The previous prime is 212201122012007. The next prime is 212201122012013. The reversal of 212201122012011 is 110210221102212.

212201122012011 is a `hidden beast` number, since 21 + 220 + 1 + 1 + 220 + 1 + 201 + 1 = 666.

It is not a de Polignac number, because 212201122012011 - 22 = 212201122012007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201122012013) 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 in 35 ways as a sum of consecutive naturals, for example, 5731119661 + ... + 5731156686.

It is an arithmetic number, because the mean of its divisors is an integer number (9909137902846).

Almost surely, 2212201122012011 is an apocalyptic number.

212201122012011 is a deficient number, since it is larger than the sum of its proper divisors (144527842490445).

212201122012011 is a wasteful number, since it uses less digits than its factorization.

212201122012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462276392 (or 11462276378 counting only the distinct ones).

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

Adding to 212201122012011 its reverse (110210221102212), we get a palindrome (322411343114223).

The spelling of 212201122012011 in words is "two hundred twelve trillion, two hundred one billion, one hundred twenty-two million, twelve thousand, eleven".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 363 561 1089 1683 2057 6171 18513 11462276347 34386829041 103160487123 126085039817 194858697899 378255119451 584576093697 1134765358353 1386935437987 1753728281091 2143445676889 4160806313961 6430337030667 12482418941883 19291011092001 23577902445779 70733707337337 212201122012011