| Base | Representation |
|---|---|
| bin | 111100001110000… |
| … | …110101100100000 |
| 3 | 2121102010002202110 |
| 4 | 330032012230200 |
| 5 | 4032121033100 |
| 6 | 244130515320 |
| 7 | 34015444452 |
| oct | 7416065440 |
| 9 | 2542102673 |
| 10 | 1010330400 |
| 11 | 47933a202 |
| 12 | 242435b40 |
| 13 | 131416251 |
| 14 | 9827a2d2 |
| 15 | 5da72250 |
| hex | 3c386b20 |
1010330400 has 144 divisors (see below), whose sum is σ = 3482214624. Its totient is φ = 253562880.
The previous prime is 1010330389. The next prime is 1010330411. The reversal of 1010330400 is 40330101.
1010330400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1010330389) and next prime (1010330411).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 28419 + ... + 53181.
It is an arithmetic number, because the mean of its divisors is an integer number (24182046).
Almost surely, 21010330400 is an apocalyptic number.
1010330400 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 1010330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741107312).
1010330400 is an abundant number, since it is smaller than the sum of its proper divisors (2471884224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010330400 is a wasteful number, since it uses less digits than its factorization.
1010330400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24803 (or 24790 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 1010330400 is about 31785.6948956602. The cubic root of 1010330400 is about 1003.4316767901.
Adding to 1010330400 its reverse (40330101), we get a palindrome (1050660501).
The spelling of 1010330400 in words is "one billion, ten million, three hundred thirty thousand, four hundred".
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