Base | Representation |
---|---|
bin | 111101011100111… |
… | …111111110000000 |
3 | 2122212000211212221 |
4 | 331130333332000 |
5 | 4102414342344 |
6 | 250150100424 |
7 | 34356313354 |
oct | 7534777600 |
9 | 2585024787 |
10 | 1031012224 |
11 | 489a85820 |
12 | 24934a714 |
13 | 1357a7b08 |
14 | 9ad01464 |
15 | 607aa184 |
hex | 3d73ff80 |
1031012224 has 64 divisors (see below), whose sum is σ = 2264094000. Its totient is φ = 463749120.
The previous prime is 1031012201. The next prime is 1031012231. The reversal of 1031012224 is 4222101301.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 1031012198 and 1031012207.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132802 + ... + 140350.
Almost surely, 21031012224 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1031012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132047000).
1031012224 is an abundant number, since it is smaller than the sum of its proper divisors (1233081776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1031012224 is an equidigital number, since it uses as much as digits as its factorization.
1031012224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7671 (or 7659 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
The square root of 1031012224 is about 32109.3790659365. The cubic root of 1031012224 is about 1010.2323499031.
Adding to 1031012224 its reverse (4222101301), we get a palindrome (5253113525).
The spelling of 1031012224 in words is "one billion, thirty-one million, twelve thousand, two hundred twenty-four".
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