Base | Representation |
---|---|
bin | 10010101011111101… |
… | …01100011101101000 |
3 | 221220011210101211121 |
4 | 21111332230131220 |
5 | 131021300324000 |
6 | 4335301505024 |
7 | 503420162542 |
oct | 112576543550 |
9 | 27804711747 |
10 | 10032433000 |
11 | 4289057447 |
12 | 1b3ba12174 |
13 | c3b6349b5 |
14 | 6b25a6692 |
15 | 3dab67b1a |
hex | 255fac768 |
10032433000 has 64 divisors (see below), whose sum is σ = 23495631120. Its totient is φ = 4009600000.
The previous prime is 10032432961. The next prime is 10032433007. The reversal of 10032433000 is 33423001.
It can be written as a sum of positive squares in 8 ways, for example, as 997170084 + 9035262916 = 31578^2 + 95054^2 .
It is not an unprimeable number, because it can be changed into a prime (10032433007) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 1429500 + ... + 1436500.
Almost surely, 210032433000 is an apocalyptic number.
10032433000 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 10032433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11747815560).
10032433000 is an abundant number, since it is smaller than the sum of its proper divisors (13463198120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032433000 is a wasteful number, since it uses less digits than its factorization.
10032433000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8455 (or 8441 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
Adding to 10032433000 its reverse (33423001), we get a palindrome (10065856001).
Subtracting from 10032433000 its reverse (33423001), we obtain a palindrome (9999009999).
The spelling of 10032433000 in words is "ten billion, thirty-two million, four hundred thirty-three thousand".
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