| Base | Representation |
|---|---|
| bin | 1100011001100110110… |
| … | …1000101111100110000 |
| 3 | 202100212120112121022210 |
| 4 | 3012121231011330300 |
| 5 | 11442242211214100 |
| 6 | 241510545532120 |
| 7 | 21251064151053 |
| oct | 3063155057460 |
| 9 | 670776477283 |
| 10 | 213032132400 |
| 11 | 8238a0a315a |
| 12 | 35354044040 |
| 13 | 17120261619 |
| 14 | a44cc12a9a |
| 15 | 581c621c50 |
| hex | 3199b45f30 |
213032132400 has 240 divisors, whose sum is σ = 725028372000. Its totient is φ = 53366906880.
The previous prime is 213032132381. The next prime is 213032132407. The reversal of 213032132400 is 4231230312.
213032132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2130321324002 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (213032132407) 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 47 ways as a sum of consecutive naturals, for example, 1204876 + ... + 1370324.
It is an arithmetic number, because the mean of its divisors is an integer number (3020951550).
Almost surely, 2213032132400 is an apocalyptic number.
213032132400 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 213032132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362514186000).
213032132400 is an abundant number, since it is smaller than the sum of its proper divisors (511996239600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213032132400 is a wasteful number, since it uses less digits than its factorization.
213032132400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 165536 (or 165525 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
Adding to 213032132400 its reverse (4231230312), we get a palindrome (217263362712).
The spelling of 213032132400 in words is "two hundred thirteen billion, thirty-two million, one hundred thirty-two thousand, four hundred".
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