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212201222020011 = 32737531717630477
BaseRepresentation
bin110000001111111011110010…
…011101011001101110101011
31000211100020110000102220011200
4300033323302131121232223
5210303201100314120021
62031151521241455243
762461014046303560
oct6017736235315653
91024306400386150
10212201222020011
116168303a835044
121b972027aa1523
139153649201aa3
143a58845b06867
15197ec9286e126
hexc0fef2759bab

212201222020011 has 48 divisors (see below), whose sum is σ = 366556085049024. Its totient is φ = 115754553038592.

The previous prime is 212201222020001. The next prime is 212201222020027. The reversal of 212201222020011 is 110020222102212.

It is a happy number.

212201222020011 is a `hidden beast` number, since 2 + 1 + 220 + 12 + 220 + 200 + 11 = 666.

It is not a de Polignac number, because 212201222020011 - 210 = 212201222018987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201222020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858691696 + ... + 858938781.

It is an arithmetic number, because the mean of its divisors is an integer number (7636585105188).

Almost surely, 2212201222020011 is an apocalyptic number.

212201222020011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212201222020011 is a deficient number, since it is larger than the sum of its proper divisors (154354863029013).

212201222020011 is a wasteful number, since it uses less digits than its factorization.

212201222020011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717630580 (or 1717630577 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212201222020011 its reverse (110020222102212), we get a palindrome (322221444122223).

The spelling of 212201222020011 in words is "two hundred twelve trillion, two hundred one billion, two hundred twenty-two million, twenty thousand, eleven".

Divisors: 1 3 7 9 21 37 53 63 111 159 259 333 371 477 777 1113 1961 2331 3339 5883 13727 17649 41181 123543 1717630477 5152891431 12023413339 15458674293 36070240017 63552327649 91034415281 108210720051 190656982947 273103245843 444866293543 571970948841 637240906967 819309737529 1334598880629 1911722720901 3368273365397 4003796641887 5735168162703 10104820096191 23577913557779 30314460288573 70733740673337 212201222020011