| Base | Representation |
|---|---|
| bin | 1100011010101110000… |
| … | …1101001011101010000 |
| 3 | 202101122102010211221200 |
| 4 | 3012223201221131100 |
| 5 | 11443400231401000 |
| 6 | 242000350151200 |
| 7 | 21261354421623 |
| oct | 3065341513520 |
| 9 | 671572124850 |
| 10 | 213331122000 |
| 11 | 825229474a7 |
| 12 | 354181b2500 |
| 13 | 1716a197549 |
| 14 | a47a801dba |
| 15 | 58389d1500 |
| hex | 31ab869750 |
213331122000 has 240 divisors, whose sum is σ = 765234576912. Its totient is φ = 55350604800.
The previous prime is 213331121989. The next prime is 213331122031. The reversal of 213331122000 is 221133312.
213331122000 is a `hidden beast` number, since 2 + 133 + 311 + 220 + 0 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 13232361024 + 200098760976 = 115032^2 + 447324^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-6 number, since 6×2133311220006 (a number of 69 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505842 + ... + 826158.
Almost surely, 2213331122000 is an apocalyptic number.
213331122000 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 213331122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382617288456).
213331122000 is an abundant number, since it is smaller than the sum of its proper divisors (551903454912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213331122000 is a wasteful number, since it uses less digits than its factorization.
213331122000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 320383 (or 320364 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 213331122000 its reverse (221133312), we get a palindrome (213552255312).
The spelling of 213331122000 in words is "two hundred thirteen billion, three hundred thirty-one million, one hundred twenty-two thousand".
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