Base | Representation |
---|---|
bin | 111011100110101… |
… | …111100100000000 |
3 | 2120200200212121200 |
4 | 323212233210000 |
5 | 4022000341112 |
6 | 243121421200 |
7 | 33531650655 |
oct | 7346574400 |
9 | 2520625550 |
10 | 1000012032 |
11 | 473531928 |
12 | 23aa9a800 |
13 | 12c2427c6 |
14 | 96b51c2c |
15 | 5cbd4cdc |
hex | 3b9af900 |
1000012032 has 216 divisors, whose sum is σ = 3053441664. Its totient is φ = 314130432.
The previous prime is 1000012019. The next prime is 1000012037. The reversal of 1000012032 is 2302100001.
It is a happy number.
1000012032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1000012037) 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, 5988013 + ... + 5988179.
It is an arithmetic number, because the mean of its divisors is an integer number (14136304).
Almost surely, 21000012032 is an apocalyptic number.
1000012032 is a gapful number since it is divisible by the number (12) 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 1000012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526720832).
1000012032 is an abundant number, since it is smaller than the sum of its proper divisors (2053429632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000012032 is a wasteful number, since it uses less digits than its factorization.
1000012032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 325 (or 308 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1000012032 is about 31622.9668437356. The cubic root of 1000012032 is about 1000.0040106506.
Adding to 1000012032 its reverse (2302100001), we get a palindrome (3302112033).
The spelling of 1000012032 in words is "one billion, twelve thousand, thirty-two".
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