Base | Representation |
---|---|
bin | 111101011010010… |
… | …010111001000100 |
3 | 2122210200211102111 |
4 | 331122102321010 |
5 | 4102224201200 |
6 | 250122550404 |
7 | 34350301465 |
oct | 7532227104 |
9 | 2583624374 |
10 | 1030303300 |
11 | 489641134 |
12 | 249068404 |
13 | 1355ba230 |
14 | 9ab98d6c |
15 | 606ba0ba |
hex | 3d692e44 |
1030303300 has 72 divisors (see below), whose sum is σ = 2490856200. Its totient is φ = 367288320.
The previous prime is 1030303297. The next prime is 1030303303. The reversal of 1030303300 is 33030301.
1030303300 is digitally balanced in base 2, 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 (1030303297) and next prime (1030303303).
It can be written as a sum of positive squares in 12 ways, for example, as 457275456 + 573027844 = 21384^2 + 23938^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (1030303303) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24036 + ... + 51364.
It is an arithmetic number, because the mean of its divisors is an integer number (34595225).
Almost surely, 21030303300 is an apocalyptic number.
1030303300 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 1030303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245428100).
1030303300 is an abundant number, since it is smaller than the sum of its proper divisors (1460552900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030303300 is a wasteful number, since it uses less digits than its factorization.
1030303300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27385 (or 27378 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 13.
The square root of 1030303300 is about 32098.3379632030. The cubic root of 1030303300 is about 1010.0007515597. Note that the first 3 decimals are identical.
Adding to 1030303300 its reverse (33030301), we get a palindrome (1063333601).
The spelling of 1030303300 in words is "one billion, thirty million, three hundred three thousand, three hundred".
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