| Base | Representation |
|---|---|
| bin | 110010010001101110000011… |
| … | …101101110010111001001000 |
| 3 | 1001222220212101202121120020220 |
| 4 | 302101232003231302321020 |
| 5 | 212440312240321321300 |
| 6 | 2102141044124550040 |
| 7 | 64401252002644323 |
| oct | 6221560355627110 |
| 9 | 1058825352546226 |
| 10 | 221120011120200 |
| 11 | 64501519766145 |
| 12 | 209726583b2320 |
| 13 | 964c6b211a1ba |
| 14 | 3c863a0cc77ba |
| 15 | 1a86c8b5dbda0 |
| hex | c91b83b72e48 |
221120011120200 has 384 divisors, whose sum is σ = 691655846668800. Its totient is φ = 58435721809920.
The previous prime is 221120011120199. The next prime is 221120011120207. The reversal of 221120011120200 is 2021110021122.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 221120011120200.
It is not an unprimeable number, because it can be changed into a prime (221120011120207) 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 95 ways as a sum of consecutive naturals, for example, 78051537984 + ... + 78051540816.
It is an arithmetic number, because the mean of its divisors is an integer number (1801187100700).
Almost surely, 2221120011120200 is an apocalyptic number.
221120011120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221120011120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345827923334400).
221120011120200 is an abundant number, since it is smaller than the sum of its proper divisors (470535835548600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221120011120200 is a wasteful number, since it uses less digits than its factorization.
221120011120200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5021 (or 5012 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 221120011120200 its reverse (2021110021122), we get a palindrome (223141121141322).
The spelling of 221120011120200 in words is "two hundred twenty-one trillion, one hundred twenty billion, eleven million, one hundred twenty thousand, two hundred".
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