| Base | Representation |
|---|---|
| bin | 10011110000011001… |
| … | …100110100000000000 |
| 3 | 2000202101012202111200 |
| 4 | 103300121212200000 |
| 5 | 321421024043240 |
| 6 | 13424542341200 |
| 7 | 1350452323341 |
| oct | 236031464000 |
| 9 | 60671182450 |
| 10 | 21213112320 |
| 11 | 8aa6281294 |
| 12 | 414028a800 |
| 13 | 2000b1048a |
| 14 | 105346a0c8 |
| 15 | 8424e6930 |
| hex | 4f0666800 |
21213112320 has 288 divisors, whose sum is σ = 75520022760. Its totient is φ = 5503057920.
The previous prime is 21213112273. The next prime is 21213112321. The reversal of 21213112320 is 2321131212.
21213112320 is a `hidden beast` number, since 2 + 121 + 311 + 232 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 15791440896 + 5421671424 = 125664^2 + 73632^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×212131123202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 21213112293 and 21213112302.
It is not an unprimeable number, because it can be changed into a prime (21213112321) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3406810 + ... + 3413030.
Almost surely, 221213112320 is an apocalyptic number.
21213112320 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 21213112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37760011380).
21213112320 is an abundant number, since it is smaller than the sum of its proper divisors (54306910440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21213112320 is a wasteful number, since it uses less digits than its factorization.
21213112320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6291 (or 6268 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 21213112320 its reverse (2321131212), we get a palindrome (23534243532).
The spelling of 21213112320 in words is "twenty-one billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty".
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