Base | Representation |
---|---|
bin | 111101100101000… |
… | …011100100100010 |
3 | 2200000000010212200 |
4 | 331211003210202 |
5 | 4103434433010 |
6 | 250303234030 |
7 | 34413260463 |
oct | 7545034442 |
9 | 2600003780 |
10 | 1033124130 |
11 | 4901984a5 |
12 | 249ba8916 |
13 | 13606716c |
14 | 9b2d0d6a |
15 | 60a75cc0 |
hex | 3d943922 |
1033124130 has 96 divisors (see below), whose sum is σ = 2790730800. Its totient is φ = 264854016.
The previous prime is 1033124129. The next prime is 1033124171. The reversal of 1033124130 is 314213301.
1033124130 = T415 + T416 + ... + T1843.
It can be written as a sum of positive squares in 8 ways, for example, as 82573569 + 950550561 = 9087^2 + 30831^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722256 + ... + 723684.
Almost surely, 21033124130 is an apocalyptic number.
1033124130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1033124130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395365400).
1033124130 is an abundant number, since it is smaller than the sum of its proper divisors (1757606670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1033124130 is a wasteful number, since it uses less digits than its factorization.
1033124130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1748 (or 1745 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1033124130 is about 32142.2483656635. The cubic root of 1033124130 is about 1010.9216597599.
Adding to 1033124130 its reverse (314213301), we get a palindrome (1347337431).
The spelling of 1033124130 in words is "one billion, thirty-three million, one hundred twenty-four thousand, one hundred thirty".
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