| Base | Representation |
|---|---|
| bin | 111011100111001… |
| … | …010000000000000 |
| 3 | 2120200220101011100 |
| 4 | 323213022000000 |
| 5 | 4022012322240 |
| 6 | 243124014400 |
| 7 | 33532611453 |
| oct | 7347120000 |
| 9 | 2520811140 |
| 10 | 1000120320 |
| 11 | 4735a6221 |
| 12 | 23ab31400 |
| 13 | 12c27cb94 |
| 14 | 96b7d49a |
| 15 | 5cc06e30 |
| hex | 3b9ca000 |
1000120320 has 168 divisors, whose sum is σ = 3468150036. Its totient is φ = 266600448.
The previous prime is 1000120313. The next prime is 1000120327. The reversal of 1000120320 is 230210001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (1000120313) and next prime (1000120327).
It can be written as a sum of positive squares in 2 ways, for example, as 931958784 + 68161536 = 30528^2 + 8256^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1000120327) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367284 + ... + 369996.
Almost surely, 21000120320 is an apocalyptic number.
1000120320 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 1000120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734075018).
1000120320 is an abundant number, since it is smaller than the sum of its proper divisors (2468029716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000120320 is an equidigital number, since it uses as much as digits as its factorization.
1000120320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2750 (or 2723 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1000120320 is about 31624.6789707026. The cubic root of 1000120320 is about 1000.0401050582.
Adding to 1000120320 its reverse (230210001), we get a palindrome (1230330321).
The spelling of 1000120320 in words is "one billion, one hundred twenty thousand, three hundred twenty".
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