Base | Representation |
---|---|
bin | 111101011010000… |
… | …010010001000000 |
3 | 2122210120101000021 |
4 | 331122002101000 |
5 | 4102220011300 |
6 | 250121303224 |
7 | 34346566111 |
oct | 7532022100 |
9 | 2583511007 |
10 | 1030235200 |
11 | 4895a4a55 |
12 | 249034b14 |
13 | 135595237 |
14 | 9ab7c208 |
15 | 606a4d1a |
hex | 3d682440 |
1030235200 has 84 divisors (see below), whose sum is σ = 2583065700. Its totient is φ = 404285440.
The previous prime is 1030235189. The next prime is 1030235257. The reversal of 1030235200 is 25320301.
It can be written as a sum of positive squares in 6 ways, for example, as 90935296 + 939299904 = 9536^2 + 30648^2 .
It is a super-2 number, since 2×10302352002 = 2122769134638080000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
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, 78726 + ... + 90874.
Almost surely, 21030235200 is an apocalyptic number.
1030235200 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 1030235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291532850).
1030235200 is an abundant number, since it is smaller than the sum of its proper divisors (1552830500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030235200 is a wasteful number, since it uses less digits than its factorization.
1030235200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12224 (or 12209 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 16.
The square root of 1030235200 is about 32097.2771430849. The cubic root of 1030235200 is about 1009.9784983822.
Adding to 1030235200 its reverse (25320301), we get a palindrome (1055555501).
The spelling of 1030235200 in words is "one billion, thirty million, two hundred thirty-five thousand, two hundred".
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