| Base | Representation |
|---|---|
| bin | 10011110000011010… |
| … | …010100100110000000 |
| 3 | 2000202101120100111021 |
| 4 | 103300122110212000 |
| 5 | 321421101113440 |
| 6 | 13424550355224 |
| 7 | 1350454040644 |
| oct | 236032244600 |
| 9 | 60671510437 |
| 10 | 21213301120 |
| 11 | 8aa63a0120 |
| 12 | 414035bb14 |
| 13 | 2000b783ab |
| 14 | 10534b8c24 |
| 15 | 84253284a |
| hex | 4f0694980 |
21213301120 has 128 divisors (see below), whose sum is σ = 57729127680. Its totient is φ = 7378483200.
The previous prime is 21213301117. The next prime is 21213301129. The reversal of 21213301120 is 2110331212.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 21213301094 and 21213301103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21213301129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96415 + ... + 227425.
It is an arithmetic number, because the mean of its divisors is an integer number (451008810).
Almost surely, 221213301120 is an apocalyptic number.
21213301120 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 21213301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28864563840).
21213301120 is an abundant number, since it is smaller than the sum of its proper divisors (36515826560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21213301120 is a wasteful number, since it uses less digits than its factorization.
21213301120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131064 (or 131052 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 21213301120 its reverse (2110331212), we get a palindrome (23323632332).
The spelling of 21213301120 in words is "twenty-one billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".
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