Search a number
-
+
221112011122200 = 2332521137301818197
BaseRepresentation
bin110010010001100110100110…
…111000001110011000011000
31001222220002202020012120002200
4302101212212320032120120
5212440144344321402300
62102133242225130200
764400546522043102
oct6221464670163030
91058802666176080
10221112011122200
11644a909399a250
1220970ba5189960
13964ba088a7c83
143c85c42620572
151a8696e0e2200
hexc919a6e0e618

221112011122200 has 288 divisors, whose sum is σ = 831967899150960. Its totient is φ = 52154184268800.

The previous prime is 221112011122147. The next prime is 221112011122273. The reversal of 221112011122200 is 2221110211122.

221112011122200 is a `hidden beast` number, since 2 + 211 + 120 + 1 + 112 + 220 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150176499 + ... + 151641698.

Almost surely, 2221112011122200 is an apocalyptic number.

221112011122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112011122200 is an abundant number, since it is smaller than the sum of its proper divisors (610855888028760).

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

221112011122200 is a wasteful number, since it uses less digits than its factorization.

221112011122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301818267 (or 301818255 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112011122200 its reverse (2221110211122), we get a palindrome (223333121333322).

The spelling of 221112011122200 in words is "two hundred twenty-one trillion, one hundred twelve billion, eleven million, one hundred twenty-two thousand, two hundred".