Base | Representation |
---|---|
bin | 11000101001001001… |
… | …10101100111111000 |
3 | 1021011000202212111000 |
4 | 30110210311213320 |
5 | 204043401244112 |
6 | 10024451005000 |
7 | 645566006646 |
oct | 142444654770 |
9 | 37130685430 |
10 | 13230103032 |
11 | 567a059253 |
12 | 2692899760 |
13 | 132ac68b43 |
14 | 8d7146196 |
15 | 5267557dc |
hex | 3149359f8 |
13230103032 has 128 divisors (see below), whose sum is σ = 37089561600. Its totient is φ = 4369521024.
The previous prime is 13230102979. The next prime is 13230103037. The reversal of 13230103032 is 23030103231.
13230103032 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 13230102996 and 13230103014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13230103037) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18197853 + ... + 18198579.
It is an arithmetic number, because the mean of its divisors is an integer number (289762200).
Almost surely, 213230103032 is an apocalyptic number.
13230103032 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 13230103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18544780800).
13230103032 is an abundant number, since it is smaller than the sum of its proper divisors (23859458568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13230103032 is a wasteful number, since it uses less digits than its factorization.
13230103032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1402 (or 1392 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13230103032 its reverse (23030103231), we get a palindrome (36260206263).
The spelling of 13230103032 in words is "thirteen billion, two hundred thirty million, one hundred three thousand, thirty-two".
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