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212023010012220 = 2232511107082328289
BaseRepresentation
bin110000001101010101110100…
…001100100010110000111100
31000210201012110010002220010200
4300031111310030202300330
5210242241111030342340
62030534005352003500
762442104561240001
oct6015256414426074
91023635403086120
10212023010012220
11616144a97a5980
121b943591090590
13913c8b7b34bc4
143a4dd7b5798a8
15197a3120eb330
hexc0d574322c3c

212023010012220 has 72 divisors (see below), whose sum is σ = 701603414956080. Its totient is φ = 51399517578240.

The previous prime is 212023010012201. The next prime is 212023010012237. The reversal of 212023010012220 is 22210010320212.

212023010012220 is a `hidden beast` number, since 21 + 202 + 301 + 0 + 0 + 122 + 20 = 666.

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 = 212023010012193 and 212023010012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53541162165 + ... + 53541166124.

It is an arithmetic number, because the mean of its divisors is an integer number (9744491874390).

Almost surely, 2212023010012220 is an apocalyptic number.

212023010012220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212023010012220 is an abundant number, since it is smaller than the sum of its proper divisors (489580404943860).

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

212023010012220 is a wasteful number, since it uses less digits than its factorization.

212023010012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107082328315 (or 107082328310 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212023010012220 its reverse (22210010320212), we get a palindrome (234233020332432).

The spelling of 212023010012220 in words is "two hundred twelve trillion, twenty-three billion, ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 107082328289 214164656578 321246984867 428329313156 535411641445 642493969734 963740954601 1070823282890 1177905611179 1284987939468 1606234924335 1927481909202 2141646565780 2355811222358 3212469848670 3533716833537 3854963818404 4711622444716 4818704773005 5889528055895 6424939697340 7067433667074 9637409546010 10601150500611 11779056111790 14134867334148 17668584167685 19274819092020 21202301001222 23558112223580 35337168335370 42404602002444 53005752503055 70674336670740 106011505006110 212023010012220