Search a number
-
+
200112122100222 = 2334416478390819
BaseRepresentation
bin101101100000000000111011…
…111100111111100111111110
3222020112112100212010220012000
4231200000323330333213332
5202212114111224201342
61545334123443123130
760102423635406213
oct5540007374774776
9866475325126160
10200112122100222
11588420900167a2
121a53b0a09734a6
138787652313c97
14375b69a9a7b0a
15182059761744c
hexb6003bf3f9fe

200112122100222 has 32 divisors (see below), whose sum is σ = 444694664563200. Its totient is φ = 66703881715704.

The previous prime is 200112122100199. The next prime is 200112122100259. The reversal of 200112122100222 is 222001221211002.

It is a happy number.

200112122100222 is a `hidden beast` number, since 20 + 0 + 1 + 1 + 212 + 210 + 0 + 222 = 666.

It is a super-2 number, since 2×2001121221002222 (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 = 200112122100195 and 200112122100204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19653529 + ... + 28044347.

It is an arithmetic number, because the mean of its divisors is an integer number (13896708267600).

Almost surely, 2200112122100222 is an apocalyptic number.

200112122100222 is an abundant number, since it is smaller than the sum of its proper divisors (244582542462978).

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

200112122100222 is a wasteful number, since it uses less digits than its factorization.

200112122100222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8832477 (or 8832471 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200112122100222 its reverse (222001221211002), we get a palindrome (422113343311224).

The spelling of 200112122100222 in words is "two hundred trillion, one hundred twelve billion, one hundred twenty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 441647 883294 1324941 2649882 3974823 7949646 8390819 11924469 16781638 23848938 25172457 50344914 75517371 151034742 226552113 453104226 3705780038893 7411560077786 11117340116679 22234680233358 33352020350037 66704040700074 100056061050111 200112122100222