Search a number
-
+
222120121221020 = 225114127190868231
BaseRepresentation
bin110010100000010001011110…
…111011000011111110011100
31002010110110212011012200200002
4302200101132323003332130
5213103204002013033040
62104224324111153432
764533435445355111
oct6240213673037634
91063413764180602
10222120121221020
1164857683851450
1220ab444b215878
1396c2ab7154c49
143cbc957bd0908
151aa2cc2850a15
hexca045eec3f9c

222120121221020 has 96 divisors (see below), whose sum is σ = 523191655913472. Its totient is φ = 78510150720000.

The previous prime is 222120121220923. The next prime is 222120121221179. The reversal of 222120121221020 is 20122121021222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 222120121220983 and 222120121221001.

It is a congruent number.

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, 42989696 + ... + 47878535.

It is an arithmetic number, because the mean of its divisors is an integer number (5449913082432).

Almost surely, 2222120121221020 is an apocalyptic number.

222120121221020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120121221020 is an abundant number, since it is smaller than the sum of its proper divisors (301071534692452).

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

222120121221020 is a wasteful number, since it uses less digits than its factorization.

222120121221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90868563 (or 90868561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 222120121221020 its reverse (20122121021222), we get a palindrome (242242242242242).

The spelling of 222120121221020 in words is "two hundred twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 11111 11924 14905 22222 29810 44444 55555 59620 111110 122221 222220 244442 488884 611105 1222210 2444420 90868231 181736462 363472924 454341155 908682310 999550541 1817364620 1999101082 3725597471 3998202164 4997752705 7451194942 9995505410 14902389884 18627987355 19991010820 24625290601 37255974710 40981572181 49250581202 74511949420 81963144362 98501162404 123126453005 163926288724 204907860905 246252906010 270878196611 409815721810 492505812020 541756393222 819631443620 1009636914641 1083512786444 1354390983055 2019273829282 2708781966110 4038547658564 5048184573205 5417563932220 10096369146410 11106006061051 20192738292820 22212012122102 44424024244204 55530030305255 111060060610510 222120121221020