| Base | Representation |
|---|---|
| bin | 1001101010001110111000… |
| … | …11110010110010101011000 |
| 3 | 2210012202010021002012111000 |
| 4 | 10311013130132112111120 |
| 5 | 10241013223412101130 |
| 6 | 113102330012305000 |
| 7 | 4321464204462600 |
| oct | 465073436262530 |
| 9 | 83182107065430 |
| 10 | 21242312222040 |
| 11 | 684a8a5510878 |
| 12 | 2470a9b472160 |
| 13 | bb11ab9b5200 |
| 14 | 5361c2083c00 |
| 15 | 26c864541260 |
| hex | 1351dc796558 |
21242312222040 has 1152 divisors, whose sum is σ = 89599920076800. Its totient is φ = 4461377356800.
The previous prime is 21242312221993. The next prime is 21242312222059. The reversal of 21242312222040 is 4022221324212.
21242312222040 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 231 + 222 + 204 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 21242312221995 and 21242312222013.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1994390715 + ... + 1994401365.
It is an arithmetic number, because the mean of its divisors is an integer number (77777708400).
Almost surely, 221242312222040 is an apocalyptic number.
21242312222040 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 21242312222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44799960038400).
21242312222040 is an abundant number, since it is smaller than the sum of its proper divisors (68357607854760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21242312222040 is a wasteful number, since it uses less digits than its factorization.
21242312222040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10934 (or 10904 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 21242312222040 its reverse (4022221324212), we get a palindrome (25264533546252).
The spelling of 21242312222040 in words is "twenty-one trillion, two hundred forty-two billion, three hundred twelve million, two hundred twenty-two thousand, forty".
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