| Base | Representation |
|---|---|
| bin | 1001100101000111101011… |
| … | …1100001010000100000000 |
| 3 | 1101021222100100102021102212 |
| 4 | 2121101322330022010000 |
| 5 | 2340034221013300000 |
| 6 | 34222535211001252 |
| 7 | 2135002356061121 |
| oct | 231217274120400 |
| 9 | 41258310367385 |
| 10 | 10533322400000 |
| 11 | 33a117a989874 |
| 12 | 1221518439228 |
| 13 | 5b5398a9433a |
| 14 | 285b5bb28048 |
| 15 | 133ee11c9c35 |
| hex | 9947af0a100 |
10533322400000 has 432 divisors, whose sum is σ = 27977231873808. Its totient is φ = 3943956480000.
The previous prime is 10533322399927. The next prime is 10533322400009. The reversal of 10533322400000 is 422333501.
It can be written as a sum of positive squares in 24 ways, for example, as 10277820457216 + 255501942784 = 3205904^2 + 505472^2 .
It is a super-2 number, since 2×105333224000002 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (10533322400009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624797994 + ... + 2624802006.
It is an arithmetic number, because the mean of its divisors is an integer number (64762110819).
Almost surely, 210533322400000 is an apocalyptic number.
10533322400000 is a gapful number since it is divisible by the number (10) 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 10533322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13988615936904).
10533322400000 is an abundant number, since it is smaller than the sum of its proper divisors (17443909473808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10533322400000 is an frugal number, since it uses more digits than its factorization.
10533322400000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4264 (or 4230 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 23.
Adding to 10533322400000 its reverse (422333501), we get a palindrome (10533744733501).
The spelling of 10533322400000 in words is "ten trillion, five hundred thirty-three billion, three hundred twenty-two million, four hundred thousand".
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