Base | Representation |
---|---|
bin | 111101100000111110… |
… | …0111101000100000000 |
3 | 110121222111002201201120 |
4 | 1323001330331010000 |
5 | 4131021332002240 |
6 | 140404241432240 |
7 | 12354430655424 |
oct | 1730174750400 |
9 | 417874081646 |
10 | 132103000320 |
11 | 5102a777425 |
12 | 2172903b680 |
13 | c5c37a3215 |
14 | 65728d6b84 |
15 | 36827bead0 |
hex | 1ec1f3d100 |
132103000320 has 432 divisors, whose sum is σ = 442970872512. Its totient is φ = 33527070720.
The previous prime is 132103000319. The next prime is 132103000327. The reversal of 132103000320 is 23000301231.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 132103000320.
It is not an unprimeable number, because it can be changed into a prime (132103000327) 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 47 ways as a sum of consecutive naturals, for example, 399102555 + ... + 399102885.
Almost surely, 2132103000320 is an apocalyptic number.
132103000320 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 132103000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221485436256).
132103000320 is an abundant number, since it is smaller than the sum of its proper divisors (310867872192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132103000320 is an equidigital number, since it uses as much as digits as its factorization.
132103000320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498 (or 431 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 132103000320 its reverse (23000301231), we get a palindrome (155103301551).
The spelling of 132103000320 in words is "one hundred thirty-two billion, one hundred three million, three hundred twenty", and thus it is an aban number.
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