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212002021222020 = 223251177789006789
BaseRepresentation
bin110000001101000010010001…
…001010101010011010000100
31000210122012021100222212201200
4300031002101022222122010
5210241420114413101040
62030520214541222500
762440432501410561
oct6015022112523204
91023565240885650
10212002021222020
116160660910a177
121b93b4b3b61a30
13913a921646513
143a4cd49c23868
1519799d4665630
hexc0d0912aa684

212002021222020 has 36 divisors (see below), whose sum is σ = 643072797707340. Its totient is φ = 56533872325824.

The previous prime is 212002021222009. The next prime is 212002021222021. The reversal of 212002021222020 is 20222120200212.

212002021222020 is a `hidden beast` number, since 21 + 200 + 202 + 1 + 2 + 220 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87148348867584 + 124853672354436 = 9335328^2 + 11173794^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212002021221984 and 212002021222002.

It is not an unprimeable number, because it can be changed into a prime (212002021222021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588894503215 + ... + 588894503574.

Almost surely, 2212002021222020 is an apocalyptic number.

212002021222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002021222020 is an abundant number, since it is smaller than the sum of its proper divisors (431070776485320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212002021222020 is a wasteful number, since it uses less digits than its factorization.

212002021222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177789006804 (or 1177789006799 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212002021222020 its reverse (20222120200212), we get a palindrome (232224141422232).

The spelling of 212002021222020 in words is "two hundred twelve trillion, two billion, twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1177789006789 2355578013578 3533367020367 4711156027156 5888945033945 7066734040734 10600101061101 11777890067890 14133468081468 17666835101835 21200202122202 23555780135780 35333670203670 42400404244404 53000505305505 70667340407340 106001010611010 212002021222020