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212221202111001 = 327910119259153449
BaseRepresentation
bin110000010000001110011001…
…010111011001101000011001
31000211102011000110111200101200
4300100032121113121220121
5210304013010220023001
62031205024020304413
762462322140260656
oct6020163127315031
91024364013450350
10212221202111001
1161690562aa6136
121b975a83242109
1391554b1728835
143a597bd4c8c2d
1519805619a6086
hexc103995d9a19

212221202111001 has 48 divisors (see below), whose sum is σ = 313513817760000. Its totient is φ = 138298754131200.

The previous prime is 212221202110927. The next prime is 212221202111003. The reversal of 212221202111001 is 100111202122212.

212221202111001 is a `hidden beast` number, since 212 + 22 + 120 + 211 + 100 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-212221202111001 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212221202111003) 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, 1382931325 + ... + 1383084773.

It is an arithmetic number, because the mean of its divisors is an integer number (6531537870000).

Almost surely, 2212221202111001 is an apocalyptic number.

It is an amenable number.

212221202111001 is a deficient number, since it is larger than the sum of its proper divisors (101292615648999).

212221202111001 is a wasteful number, since it uses less digits than its factorization.

212221202111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172894 (or 172891 counting only the distinct ones).

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

Adding to 212221202111001 its reverse (100111202122212), we get a palindrome (312332404233213).

The spelling of 212221202111001 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred two million, one hundred eleven thousand, one".

Divisors: 1 3 9 79 101 237 303 711 909 7979 19259 23937 57777 71811 153449 173331 460347 1381041 1521461 1945159 4564383 5835477 12122471 13693149 15498349 17506431 36367413 46495047 109102239 139485141 153667561 461002683 1224369571 1383008049 2955274291 3673108713 8865822873 11019326139 26597468619 233466668989 298482703391 700400006967 895448110173 2101200020901 2686344330519 23580133567889 70740400703667 212221202111001