Base | Representation |
---|---|
bin | 100000000010000010111… |
… | …100101011111010001010 |
3 | 21210102201211011020002200 |
4 | 200002002330223322022 |
5 | 242031044332431442 |
6 | 4403120540141030 |
7 | 315014201000454 |
oct | 40020274537212 |
9 | 7712654136080 |
10 | 2201220202122 |
11 | 779594466997 |
12 | 2b6740237776 |
13 | 12c7605cc126 |
14 | 7877aa3d2d4 |
15 | 3c3d362d34c |
hex | 20082f2be8a |
2201220202122 has 48 divisors (see below), whose sum is σ = 4772531721672. Its totient is φ = 733244682240.
The previous prime is 2201220202099. The next prime is 2201220202147. The reversal of 2201220202122 is 2212020221022.
2201220202122 is a `hidden beast` number, since 220 + 1 + 220 + 202 + 1 + 22 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2037153889521 + 164066312601 = 1427289^2 + 405051^2 .
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 = 2201220202095 and 2201220202104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274565058 + ... + 274573074.
Almost surely, 22201220202122 is an apocalyptic number.
2201220202122 is an abundant number, since it is smaller than the sum of its proper divisors (2571311519550).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201220202122 is a wasteful number, since it uses less digits than its factorization.
2201220202122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16423 (or 16420 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2201220202122 its reverse (2212020221022), we get a palindrome (4413240423144).
The spelling of 2201220202122 in words is "two trillion, two hundred one billion, two hundred twenty million, two hundred two thousand, one hundred twenty-two".
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