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220022002122021 = 321127572267117731
BaseRepresentation
bin110010000001101111011101…
…010001110111110100100101
31001212000220020121222011120100
4302001233131101313310211
5212314320030020401041
62055540413513254313
764226031215313651
oct6201573521676445
91055026217864510
10220022002122021
1164118897266300
12208158a3404399
13959cca7988718
143c4919c015a61
151a684258226b6
hexc81bdd477d25

220022002122021 has 72 divisors (see below), whose sum is σ = 349946593974432. Its totient is φ = 133110642772800.

The previous prime is 220022002122001. The next prime is 220022002122023. The reversal of 220022002122021 is 120221200220022.

220022002122021 is a `hidden beast` number, since 2 + 200 + 2 + 200 + 21 + 220 + 21 = 666.

It is not a de Polignac number, because 220022002122021 - 211 = 220022002119973 is a prime.

It is a super-2 number, since 2×2200220021220212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220022002121985 and 220022002122003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220022002122023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1868794726 + ... + 1868912456.

It is an arithmetic number, because the mean of its divisors is an integer number (4860369360756).

Almost surely, 2220022002122021 is an apocalyptic number.

It is an amenable number.

220022002122021 is a deficient number, since it is larger than the sum of its proper divisors (129924591852411).

220022002122021 is a wasteful number, since it uses less digits than its factorization.

220022002122021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120783 (or 120769 counting only the distinct ones).

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

Adding to 220022002122021 its reverse (120221200220022), we get a palindrome (340243202342043).

The spelling of 220022002122021 in words is "two hundred twenty trillion, twenty-two billion, two million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 121 363 757 1089 2267 2271 6801 6813 8327 20403 24937 24981 74811 74943 91597 117731 224433 274307 274791 353193 822921 824373 1059579 1295041 1716119 2468763 3885123 5148357 11655369 14245451 15445071 18877309 42736353 56631927 89122367 128209059 169895781 207650399 266896177 267367101 622951197 800688531 802101303 980346037 1868853591 2402065593 2935857947 2941038111 8807573841 8823114333 10783806407 26422721523 32294437417 32351419221 96883312251 97054257663 202040405989 290649936753 606121217967 1818363653901 2222444465879 6667333397637 20002000192911 24446889124669 73340667374007 220022002122021