Base | Representation |
---|---|
bin | 1001101001100101101111… |
… | …01011001101111110100100 |
3 | 2210010122002121200011012000 |
4 | 10310302313223031332210 |
5 | 10240133002310032322 |
6 | 113044233503325300 |
7 | 4320052555634460 |
oct | 464626753157644 |
9 | 83118077604160 |
10 | 21220220002212 |
11 | 6841498a88060 |
12 | 24687548b0830 |
13 | bac09aa14a9a |
14 | 5350c7d794a0 |
15 | 26bebec983ac |
hex | 134cb7acdfa4 |
21220220002212 has 192 divisors, whose sum is σ = 68794152161280. Its totient is φ = 5495389401600.
The previous prime is 21220220002211. The next prime is 21220220002217. The reversal of 21220220002212 is 21220002202212.
21220220002212 is a `hidden beast` number, since 2 + 1 + 220 + 220 + 0 + 0 + 221 + 2 = 666.
It is a super-3 number, since 3×212202200022123 (a number of 41 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (21220220002211) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983464 + ... + 6588447.
It is an arithmetic number, because the mean of its divisors is an integer number (358302875840).
Almost surely, 221220220002212 is an apocalyptic number.
21220220002212 is a gapful number since it is divisible by the number (22) 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 21220220002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34397076080640).
21220220002212 is an abundant number, since it is smaller than the sum of its proper divisors (47573932159068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21220220002212 is a wasteful number, since it uses less digits than its factorization.
21220220002212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7572279 (or 7572271 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 21220220002212 its reverse (21220002202212), we get a palindrome (42440222204424).
The spelling of 21220220002212 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty million, two thousand, two hundred twelve".
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