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212000120010020 = 225531371477998779
BaseRepresentation
bin110000001101000000011111…
…110110000111010100100100
31000210122000100212112022011102
4300031000133312013110210
5210241402221210310040
62030515302143455232
762440334414362466
oct6015003766072444
91023560325468142
10212000120010020
1161605822a06491
121b93b0632b7518
13913a6aa7aa0c4
143a4cc09522136
1519799227b8515
hexc0d01fd87524

212000120010020 has 96 divisors (see below), whose sum is σ = 456946749705600. Its totient is φ = 82586322883584.

The previous prime is 212000120010013. The next prime is 212000120010037. The reversal of 212000120010020 is 20010021000212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212000120009983 and 212000120010010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146156991 + ... + 2146255769.

It is an arithmetic number, because the mean of its divisors is an integer number (4759861976100).

Almost surely, 2212000120010020 is an apocalyptic number.

212000120010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000120010020 is an abundant number, since it is smaller than the sum of its proper divisors (244946629695580).

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

212000120010020 is a wasteful number, since it uses less digits than its factorization.

212000120010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113757 (or 113755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212000120010020 its reverse (20010021000212), we get a palindrome (232010141010232).

The spelling of 212000120010020 in words is "two hundred twelve trillion, one hundred twenty million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 137 212 265 274 530 548 685 1060 1370 2740 7261 14522 14779 29044 29558 36305 59116 72610 73895 98779 145220 147790 197558 295580 395116 493895 783287 987790 1566574 1975580 2024723 3133148 3916435 4049446 5235287 7832870 8098892 10123615 10470574 13532723 15665740 20247230 20941148 26176435 27065446 40494460 52352870 54130892 67663615 104705740 107310319 135327230 214620638 270654460 429241276 536551595 717234319 1073103190 1434468638 1459854841 2146206380 2868937276 2919709682 3586171595 5839419364 7172343190 7299274205 14344686380 14598548410 29197096820 77372306573 154744613146 200000113217 309489226292 386861532865 400000226434 773723065730 800000452868 1000000566085 1547446131460 2000001132170 4000002264340 10600006000501 21200012001002 42400024002004 53000030002505 106000060005010 212000120010020