Base | Representation |
---|---|
bin | 111100011001100… |
… | …011111000010100 |
3 | 2121121202200021021 |
4 | 330121203320110 |
5 | 4033403133044 |
6 | 244315130524 |
7 | 34053123100 |
oct | 7431437024 |
9 | 2547680237 |
10 | 1013333524 |
11 | 480000525 |
12 | 243443a44 |
13 | 131c28148 |
14 | 9881c900 |
15 | 5de66e84 |
hex | 3c663e14 |
1013333524 has 36 divisors (see below), whose sum is σ = 2070987156. Its totient is φ = 432574464.
The previous prime is 1013333509. The next prime is 1013333533. The reversal of 1013333524 is 4253333101.
1013333524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 679540624 + 333792900 = 26068^2 + 18270^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40314 + ... + 60430.
It is an arithmetic number, because the mean of its divisors is an integer number (57527421).
Almost surely, 21013333524 is an apocalyptic number.
1013333524 is a gapful number since it is divisible by the number (14) 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 1013333524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035493578).
1013333524 is an abundant number, since it is smaller than the sum of its proper divisors (1057653632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1013333524 is a wasteful number, since it uses less digits than its factorization.
1013333524 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20392 (or 20383 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 25.
The square root of 1013333524 is about 31832.9000249742. The cubic root of 1013333524 is about 1004.4248993860.
Adding to 1013333524 its reverse (4253333101), we get a palindrome (5266666625).
The spelling of 1013333524 in words is "one billion, thirteen million, three hundred thirty-three thousand, five hundred twenty-four".
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