| Base | Representation |
|---|---|
| bin | 110000000001101011000101… |
| … | …010000000111111011011100 |
| 3 | 1000200212112212100211221011100 |
| 4 | 300001223011100013323130 |
| 5 | 210141122020010133040 |
| 6 | 2025121403524553100 |
| 7 | 62330141341251444 |
| oct | 6001530520077334 |
| 9 | 1020775770757140 |
| 10 | 211221211021020 |
| 11 | 6133545a1064a2 |
| 12 | 1b834104252790 |
| 13 | 90b20c825c6c5 |
| 14 | 3a23238321124 |
| 15 | 1964535deeb30 |
| hex | c01ac5407edc |
211221211021020 has 288 divisors, whose sum is σ = 659625070104000. Its totient is φ = 54688602009600.
The previous prime is 211221211021001. The next prime is 211221211021033. The reversal of 211221211021020 is 20120112122112.
211221211021020 is a `hidden beast` number, since 2 + 1 + 1 + 221 + 211 + 0 + 210 + 20 = 666.
It is a super-2 number, since 2×2112212110210202 (a number of 29 digits) contains 22 as substring.
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 = 211221211020984 and 211221211021002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438460846 + ... + 438942314.
It is an arithmetic number, because the mean of its divisors is an integer number (2290364826750).
Almost surely, 2211221211021020 is an apocalyptic number.
211221211021020 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 211221211021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329812535052000).
211221211021020 is an abundant number, since it is smaller than the sum of its proper divisors (448403859082980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211221211021020 is a wasteful number, since it uses less digits than its factorization.
211221211021020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 482053 (or 482048 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 211221211021020 its reverse (20120112122112), we get a palindrome (231341323143132).
The spelling of 211221211021020 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, twenty".
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