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212221111210101 = 32741162053506999
BaseRepresentation
bin110000010000001110010011…
…111100101001000001110101
31000211102010210010110102210200
4300100032103330221001311
5210304012313432210401
62031205011012111113
762462316654523530
oct6020162374510165
91024363703412720
10212221111210101
1161690516759a24
121b975a58905499
13915549894c816
143a597b13c5a17
1519805589ec686
hexc10393f29075

212221111210101 has 48 divisors (see below), whose sum is σ = 358880899104000. Its totient is φ = 118310457450240.

The previous prime is 212221111210079. The next prime is 212221111210111. The reversal of 212221111210101 is 101012111122212.

It is a happy number.

212221111210101 is a `hidden beast` number, since 21 + 2 + 221 + 111 + 210 + 101 = 666.

It is not a de Polignac number, because 212221111210101 - 226 = 212221044101237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221111210111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418329400 + ... + 418836398.

It is an arithmetic number, because the mean of its divisors is an integer number (7476685398000).

Almost surely, 2212221111210101 is an apocalyptic number.

212221111210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212221111210101 is a deficient number, since it is larger than the sum of its proper divisors (146659787893899).

212221111210101 is a wasteful number, since it uses less digits than its factorization.

212221111210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669106 (or 669103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212221111210101 its reverse (101012111122212), we get a palindrome (313233222332313).

The spelling of 212221111210101 in words is "two hundred twelve trillion, two hundred twenty-one billion, one hundred eleven million, two hundred ten thousand, one hundred one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 162053 486159 506999 1134371 1458477 1520997 3403113 3548993 4562991 6644173 10209339 10646979 19932519 20786959 31940937 46509211 59797557 62360877 139527633 145508713 187082631 418582899 436526139 1309578417 82160708947 246482126841 575124962629 739446380523 1725374887887 3368589066827 5176124663661 10105767200481 23580123467789 30317301601443 70740370403367 212221111210101