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211211102010212 = 22294144409399077
BaseRepresentation
bin110000000001100001101010…
…101101010011101101100100
31000200211120202211221222022122
4300001201222231103231210
5210140440314103311322
62025113012445445112
762326333001134643
oct6001415255235544
91020746684858278
10211211102010212
1161331141906007
121b832162870798
1390b1176ac51c5
143a2295990335a
1519641436ac442
hexc0186ab53b64

211211102010212 has 24 divisors (see below), whose sum is σ = 391690899867960. Its totient is φ = 99477053930240.

The previous prime is 211211102010203. The next prime is 211211102010287. The reversal of 211211102010212 is 212010201112112.

It can be written as a sum of positive squares in 4 ways, for example, as 1327965835876 + 209883136174336 = 1152374^2 + 14487344^2 .

It is a super-3 number, since 3×2112111020102123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22204694783 + ... + 22204704294.

It is an arithmetic number, because the mean of its divisors is an integer number (16320454161165).

Almost surely, 2211211102010212 is an apocalyptic number.

It is an amenable number.

211211102010212 is a deficient number, since it is larger than the sum of its proper divisors (180479797857748).

211211102010212 is a wasteful number, since it uses less digits than its factorization.

211211102010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44409399151 (or 44409399149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 211211102010212 its reverse (212010201112112), we get a palindrome (423221303122324).

The spelling of 211211102010212 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred two million, ten thousand, two hundred twelve".

Divisors: 1 2 4 29 41 58 82 116 164 1189 2378 4756 44409399077 88818798154 177637596308 1287872573233 1820785362157 2575745146466 3641570724314 5151490292932 7283141448628 52802775502553 105605551005106 211211102010212