| Base | Representation |
|---|---|
| bin | 1001101001100101101110… |
| … | …01001010000101000101000 |
| 3 | 2210010122001222220212220212 |
| 4 | 10310302313021100220220 |
| 5 | 10240132443020201300 |
| 6 | 113044232544440252 |
| 7 | 4320052420160210 |
| oct | 464626711205050 |
| 9 | 83118058825825 |
| 10 | 21220211100200 |
| 11 | 6841493a57922 |
| 12 | 2468751919088 |
| 13 | bac098c18c18 |
| 14 | 5350c6add240 |
| 15 | 26bebe0da935 |
| hex | 134cb7250a28 |
21220211100200 has 576 divisors, whose sum is σ = 61041999490560. Its totient is φ = 6715815805440.
The previous prime is 21220211100197. The next prime is 21220211100203. The reversal of 21220211100200 is 200111202212.
It is an interprime number because it is at equal distance from previous prime (21220211100197) and next prime (21220211100203).
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (21220211100203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11365939667 + ... + 11365941533.
It is an arithmetic number, because the mean of its divisors is an integer number (105975693560).
Almost surely, 221220211100200 is an apocalyptic number.
21220211100200 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 21220211100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30520999745280).
21220211100200 is an abundant number, since it is smaller than the sum of its proper divisors (39821788390360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21220211100200 is a wasteful number, since it uses less digits than its factorization.
21220211100200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2494 (or 2466 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 21220211100200 its reverse (200111202212), we get a palindrome (21420322302412).
The spelling of 21220211100200 in words is "twenty-one trillion, two hundred twenty billion, two hundred eleven million, one hundred thousand, two hundred".
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