| Base | Representation |
|---|---|
| bin | 111100111110111… |
| … | …001001010000000 |
| 3 | 2122022011212210100 |
| 4 | 330332321022000 |
| 5 | 4043404320000 |
| 6 | 245305002400 |
| 7 | 34232243100 |
| oct | 7476711200 |
| 9 | 2568155710 |
| 10 | 1023120000 |
| 11 | 485585221 |
| 12 | 246783400 |
| 13 | 133c73766 |
| 14 | 99c49200 |
| 15 | 5ec4ba00 |
| hex | 3cfb9280 |
1023120000 has 720 divisors, whose sum is σ = 4427215650. Its totient is φ = 225792000.
The previous prime is 1023119987. The next prime is 1023120019. The reversal of 1023120000 is 213201.
It is a happy number.
1023120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 5 ways, for example, as 14930496 + 1008189504 = 3864^2 + 31752^2 .
It is a tau number, because it is divible by the number of its divisors (720).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 35279986 + ... + 35280014.
Almost surely, 21023120000 is an apocalyptic number.
1023120000 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 1023120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213607825).
1023120000 is an abundant number, since it is smaller than the sum of its proper divisors (3404095650).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023120000 is an equidigital number, since it uses as much as digits as its factorization.
1023120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1023120000 is about 31986.2470446284. The cubic root of 1023120000 is about 1007.6480252595.
Adding to 1023120000 its reverse (213201), we get a palindrome (1023333201).
The spelling of 1023120000 in words is "one billion, twenty-three million, one hundred twenty thousand".
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