Base | Representation |
---|---|
bin | 110000000101000110… |
… | …0000010101100000000 |
3 | 100212111200100202122102 |
4 | 1200022030002230000 |
5 | 3142424014102000 |
6 | 115233224525532 |
7 | 10313430512663 |
oct | 1401214025400 |
9 | 325450322572 |
10 | 103250144000 |
11 | 3a874018423 |
12 | 180163208a8 |
13 | 9975c87083 |
14 | 4dd697d6da |
15 | 2a447403d5 |
hex | 180a302b00 |
103250144000 has 144 divisors (see below), whose sum is σ = 257498623200. Its totient is φ = 41253580800.
The previous prime is 103250143999. The next prime is 103250144003. The reversal of 103250144000 is 441052301.
103250144000 is digitally balanced in base 3, 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 (20).
It is not an unprimeable number, because it can be changed into a prime (103250144003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49566959 + ... + 49569041.
Almost surely, 2103250144000 is an apocalyptic number.
103250144000 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 103250144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128749311600).
103250144000 is an abundant number, since it is smaller than the sum of its proper divisors (154248479200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103250144000 is an equidigital number, since it uses as much as digits as its factorization.
103250144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3663 (or 3639 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
Adding to 103250144000 its reverse (441052301), we get a palindrome (103691196301).
The spelling of 103250144000 in words is "one hundred three billion, two hundred fifty million, one hundred forty-four thousand".
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