| Base | Representation |
|---|---|
| bin | 1001101001101001000110… |
| … | …00101101011100000010100 |
| 3 | 2210010210202012122021000000 |
| 4 | 10310310203011223200110 |
| 5 | 10240200200124213022 |
| 6 | 113045132400451300 |
| 7 | 4320145330343025 |
| oct | 464644305534024 |
| 9 | 83123665567000 |
| 10 | 21222022101012 |
| 11 | 6842233245607 |
| 12 | 2468b78319b30 |
| 13 | bac2c718b235 |
| 14 | 53521943ac4c |
| 15 | 26c0780b86ac |
| hex | 134d2316b814 |
21222022101012 has 336 divisors, whose sum is σ = 59560032747600. Its totient is φ = 6590006968320.
The previous prime is 21222022101011. The next prime is 21222022101019. The reversal of 21222022101012 is 21010122022212.
It is a happy number.
21222022101012 is a `hidden beast` number, since 212 + 220 + 2 + 210 + 10 + 12 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 2257007447556 + 18965014653456 = 1502334^2 + 4354884^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21222022101011) 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 111 ways as a sum of consecutive naturals, for example, 8693985712 + ... + 8693988152.
It is an arithmetic number, because the mean of its divisors is an integer number (177262002225).
Almost surely, 221222022101012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21222022101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29780016373800).
21222022101012 is an abundant number, since it is smaller than the sum of its proper divisors (38338010646588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21222022101012 is a wasteful number, since it uses less digits than its factorization.
21222022101012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4198 (or 4181 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 21222022101012 its reverse (21010122022212), we get a palindrome (42232144123224).
The spelling of 21222022101012 in words is "twenty-one trillion, two hundred twenty-two billion, twenty-two million, one hundred one thousand, twelve".
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