Base | Representation |
---|---|
bin | 11110111000011100111… |
… | …111110001010000011100 |
3 | 21111212202210022110022200 |
4 | 132320130333301100130 |
5 | 234232231240314400 |
6 | 4302531514011500 |
7 | 306216050053434 |
oct | 36703477612034 |
9 | 7455683273280 |
10 | 2122200323100 |
11 | 749024836250 |
12 | 2a3368716b90 |
13 | 125179564170 |
14 | 74a021192c4 |
15 | 3a30b215b00 |
hex | 1ee1cff141c |
2122200323100 has 216 divisors, whose sum is σ = 7814842390992. Its totient is φ = 474897945600.
The previous prime is 2122200323083. The next prime is 2122200323101. The reversal of 2122200323100 is 13230022212.
2122200323100 is a `hidden beast` number, since 2 + 122 + 200 + 32 + 310 + 0 = 666.
It is a super-3 number, since 3×21222003231003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122200323101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8116057 + ... + 8373456.
Almost surely, 22122200323100 is an apocalyptic number.
2122200323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2122200323100 is an abundant number, since it is smaller than the sum of its proper divisors (5692642067892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122200323100 is a wasteful number, since it uses less digits than its factorization.
2122200323100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16489557 (or 16489547 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2122200323100 its reverse (13230022212), we get a palindrome (2135430345312).
The spelling of 2122200323100 in words is "two trillion, one hundred twenty-two billion, two hundred million, three hundred twenty-three thousand, one hundred".
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