| Base | Representation |
|---|---|
| bin | 100110110101010… |
| … | …0101101011010000 |
| 3 | 10100210211202200122 |
| 4 | 1031222211223100 |
| 5 | 10132032310000 |
| 6 | 333144005412 |
| 7 | 44201254655 |
| oct | 11552455320 |
| 9 | 3323752618 |
| 10 | 1303010000 |
| 11 | 609573776 |
| 12 | 304460868 |
| 13 | 179c50046 |
| 14 | c50a5c2c |
| 15 | 795d7085 |
| hex | 4daa5ad0 |
1303010000 has 100 divisors (see below), whose sum is σ = 3174062100. Its totient is φ = 518016000.
The previous prime is 1303009993. The next prime is 1303010017. The reversal of 1303010000 is 103031.
It can be written as a sum of positive squares in 10 ways, for example, as 913973824 + 389036176 = 30232^2 + 19724^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 1303010000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2289716 + ... + 2290284.
It is an arithmetic number, because the mean of its divisors is an integer number (31740621).
Almost surely, 21303010000 is an apocalyptic number.
1303010000 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 1303010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587031050).
1303010000 is an abundant number, since it is smaller than the sum of its proper divisors (1871052100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1303010000 is an equidigital number, since it uses as much as digits as its factorization.
1303010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 826 (or 805 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 8.
The square root of 1303010000 is about 36097.2298106101. The cubic root of 1303010000 is about 1092.2345652192.
Adding to 1303010000 its reverse (103031), we get a palindrome (1303113031).
The spelling of 1303010000 in words is "one billion, three hundred three million, ten thousand".
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