| Base | Representation |
|---|---|
| bin | 110010010000010010111001… |
| … | …000001000000001110111100 |
| 3 | 1001222120111201122021022110100 |
| 4 | 302100102321001000032330 |
| 5 | 212432211301000201340 |
| 6 | 2102024054414041100 |
| 7 | 64361215126340136 |
| oct | 6220227101001674 |
| 9 | 1058514648238410 |
| 10 | 221022121100220 |
| 11 | 64473a56365290 |
| 12 | 209576991a9190 |
| 13 | 96433b17b105b |
| 14 | 3c81756190056 |
| 15 | 1a8445c73b830 |
| hex | c904b90403bc |
221022121100220 has 288 divisors, whose sum is σ = 763203961787904. Its totient is φ = 51249999398400.
The previous prime is 221022121100149. The next prime is 221022121100227. The reversal of 221022121100220 is 22001121220122.
It is a happy number.
221022121100220 is a `hidden beast` number, since 2 + 2 + 10 + 221 + 211 + 0 + 0 + 220 = 666.
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 = 221022121100193 and 221022121100202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221022121100227) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2547145435 + ... + 2547232205.
It is an arithmetic number, because the mean of its divisors is an integer number (2650013756208).
Almost surely, 2221022121100220 is an apocalyptic number.
221022121100220 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 221022121100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381601980893952).
221022121100220 is an abundant number, since it is smaller than the sum of its proper divisors (542181840687684).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221022121100220 is a wasteful number, since it uses less digits than its factorization.
221022121100220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142753 (or 142748 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 221022121100220 its reverse (22001121220122), we get a palindrome (243023242320342).
The spelling of 221022121100220 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand, two hundred twenty".
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