Search a number
-
+
212201020222020 = 223352913550512147
BaseRepresentation
bin110000001111111011100110…
…011011100110101001000100
31000211100012220221201111101000
4300033323212123212221010
5210303200142134101040
62031151445232333300
762461006046120334
oct6017734633465104
91024305827644330
10212201020222020
1161682a46934245
121b971b903a4230
1391536164682ab
143a58826db70c4
15197ec7ecac130
hexc0fee66e6a44

212201020222020 has 96 divisors (see below), whose sum is σ = 682945812259200. Its totient is φ = 54635664972672.

The previous prime is 212201020222007. The next prime is 212201020222027. The reversal of 212201020222020 is 20222020102212.

212201020222020 is a `hidden beast` number, since 2 + 1 + 220 + 1 + 0 + 202 + 220 + 20 = 666.

It is a super-2 number, since 2×2122010202220202 (a number of 29 digits) contains 22 as substring.

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 = 212201020221984 and 212201020222002.

It is not an unprimeable number, because it can be changed into a prime (212201020222027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6775240414 + ... + 6775271733.

It is an arithmetic number, because the mean of its divisors is an integer number (7114018877700).

Almost surely, 2212201020222020 is an apocalyptic number.

212201020222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201020222020 is an abundant number, since it is smaller than the sum of its proper divisors (470744792037180).

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

212201020222020 is a wasteful number, since it uses less digits than its factorization.

212201020222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13550512194 (or 13550512186 counting only the distinct ones).

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

Adding to 212201020222020 its reverse (20222020102212), we get a palindrome (232423040324232).

The spelling of 212201020222020 in words is "two hundred twelve trillion, two hundred one billion, twenty million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 13550512147 27101024294 40651536441 54202048588 67752560735 81303072882 121954609323 135505121470 162606145764 203257682205 243909218646 271010242940 365863827969 392964852263 406515364410 487818437292 609773046615 731727655938 785929704526 813030728820 1178894556789 1219546093230 1463455311876 1571859409052 1829319139845 1964824261315 2357789113578 2439092186460 3536683670367 3658638279690 3929648522630 4715578227156 5894472783945 7073367340734 7317276559380 7859297045260 10610051011101 11788945567890 14146734681468 17683418351835 21220102022202 23577891135780 35366836703670 42440204044404 53050255055505 70733673407340 106100510111010 212201020222020