| Base | Representation |
|---|---|
| bin | 110010000100100000100000… |
| … | …000011100111110110101100 |
| 3 | 1001212201001220221120210222020 |
| 4 | 302010200200003213312230 |
| 5 | 212330423340330133400 |
| 6 | 2100204013112350140 |
| 7 | 64245541102304346 |
| oct | 6204404003476654 |
| 9 | 1055631827523866 |
| 10 | 220212101021100 |
| 11 | 64191478121871 |
| 12 | 208466b70a5350 |
| 13 | 95b4bb1936aa6 |
| 14 | 3c5447315a296 |
| 15 | 1a6d34e9222a0 |
| hex | c848200e7dac |
220212101021100 has 288 divisors, whose sum is σ = 649516553280000. Its totient is φ = 57594916177920.
The previous prime is 220212101021057. The next prime is 220212101021141. The reversal of 220212101021100 is 1120101212022.
It is a super-2 number, since 2×2202121010211002 (a number of 29 digits) contains 22 as substring.
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 220212101021100.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 2939926249 + ... + 2940001151.
It is an arithmetic number, because the mean of its divisors is an integer number (2255265810000).
Almost surely, 2220212101021100 is an apocalyptic number.
220212101021100 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 220212101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324758276640000).
220212101021100 is an abundant number, since it is smaller than the sum of its proper divisors (429304452258900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220212101021100 is a wasteful number, since it uses less digits than its factorization.
220212101021100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75897 (or 75890 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 220212101021100 its reverse (1120101212022), we get a palindrome (221332202233122).
The spelling of 220212101021100 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred one million, twenty-one thousand, one hundred".
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