Search a number
-
+
21222120122200 = 23526171051163633
BaseRepresentation
bin1001101001101001010001…
…11011100110011101011000
32210010211000001002020210101
410310310220323212131120
510240200400222402300
6113045150221425144
74320150630454054
oct464645073463530
983124001066711
1021222120122200
116842283605358
122468ba510b1b4
13bac31158b13a
14535228474c64
1526c0819cbb6a
hex134d28ee6758

21222120122200 has 96 divisors (see below), whose sum is σ = 49468724714160. Its totient is φ = 8466974208000.

The previous prime is 21222120122129. The next prime is 21222120122209. The reversal of 21222120122200 is 222102122212.

It is a super-2 number, since 2×212221201222002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222120122209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129611584 + ... + 129775216.

Almost surely, 221222120122200 is an apocalyptic number.

21222120122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222120122200 is an abundant number, since it is smaller than the sum of its proper divisors (28246604591960).

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

21222120122200 is a wasteful number, since it uses less digits than its factorization.

21222120122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165317 (or 165308 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 21222120122200 its reverse (222102122212), we get a palindrome (21444222244412).

The spelling of 21222120122200 in words is "twenty-one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 617 1051 1234 2102 2468 3085 4204 4936 5255 6170 8408 10510 12340 15425 21020 24680 26275 30850 42040 52550 61700 105100 123400 163633 210200 327266 648467 654532 818165 1296934 1309064 1636330 2593868 3242335 3272660 4090825 5187736 6484670 6545320 8181650 12969340 16211675 16363300 25938680 32423350 32726600 64846700 100961561 129693400 171978283 201923122 343956566 403846244 504807805 687913132 807692488 859891415 1009615610 1375826264 1719782830 2019231220 2524039025 3439565660 4038462440 4299457075 5048078050 6879131320 8598914150 10096156100 17197828300 20192312200 34395656600 106110600611 212221201222 424442402444 530553003055 848884804888 1061106006110 2122212012220 2652765015275 4244424024440 5305530030550 10611060061100 21222120122200