Base | Representation |
---|---|
bin | 11110000101011010010001… |
… | …010111010100101110111010 |
3 | 122100111000111111102021100000 |
4 | 132011122101113110232322 |
5 | 114320304414020044010 |
6 | 1145223502350253430 |
7 | 36604212321460101 |
oct | 3605322127245672 |
9 | 570430444367300 |
10 | 132313201331130 |
11 | 39182793831826 |
12 | 12a0b2274b7276 |
13 | 58aa10994bca1 |
14 | 2495dc9167038 |
15 | 1046b83ba57c0 |
hex | 7856915d4bba |
132313201331130 has 96 divisors (see below), whose sum is σ = 356818763141568. Its totient is φ = 35277272928000.
The previous prime is 132313201331123. The next prime is 132313201331131. The reversal of 132313201331130 is 31133102313231.
132313201331130 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 1 + 320 + 1 + 331 + 1 + 3 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 132313201331094 and 132313201331103.
It is not an unprimeable number, because it can be changed into a prime (132313201331131) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8914210 + ... + 18549650.
It is an arithmetic number, because the mean of its divisors is an integer number (3716862116058).
Almost surely, 2132313201331130 is an apocalyptic number.
132313201331130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 132313201331130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178409381570784).
132313201331130 is an abundant number, since it is smaller than the sum of its proper divisors (224505561810438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132313201331130 is an equidigital number, since it uses as much as digits as its factorization.
132313201331130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9641114 (or 9641102 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 27.
Adding to 132313201331130 its reverse (31133102313231), we get a palindrome (163446303644361).
The spelling of 132313201331130 in words is "one hundred thirty-two trillion, three hundred thirteen billion, two hundred one million, three hundred thirty-one thousand, one hundred thirty".
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