| Base | Representation |
|---|---|
| bin | 1100011010010100000… |
| … | …1110110010111111000 |
| 3 | 202101100211001010102200 |
| 4 | 3012211001312113320 |
| 5 | 11443134330414000 |
| 6 | 241541454030200 |
| 7 | 21255562066365 |
| oct | 3064501662770 |
| 9 | 671324033380 |
| 10 | 213222123000 |
| 11 | 82477369987 |
| 12 | 353a77a8360 |
| 13 | 171507229b3 |
| 14 | a46a14b46c |
| 15 | 582e150500 |
| hex | 31a50765f8 |
213222123000 has 1152 divisors, whose sum is σ = 823355020800. Its totient is φ = 49641984000.
The previous prime is 213222122987. The next prime is 213222123007. The reversal of 213222123000 is 321222312.
213222123000 is a `hidden beast` number, since 21 + 322 + 21 + 2 + 300 + 0 = 666.
213222123000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (213222123007) 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 287 ways as a sum of consecutive naturals, for example, 2920850964 + ... + 2920851036.
It is an arithmetic number, because the mean of its divisors is an integer number (714717900).
Almost surely, 2213222123000 is an apocalyptic number.
213222123000 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 213222123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411677510400).
213222123000 is an abundant number, since it is smaller than the sum of its proper divisors (610132897800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213222123000 is a wasteful number, since it uses less digits than its factorization.
213222123000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 198 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 213222123000 its reverse (321222312), we get a palindrome (213543345312).
The spelling of 213222123000 in words is "two hundred thirteen billion, two hundred twenty-two million, one hundred twenty-three thousand".
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