Base | Representation |
---|---|
bin | 111101000000110011… |
… | …0010001000110000000 |
3 | 110112012020110211201211 |
4 | 1322001212101012000 |
5 | 4121313431424412 |
6 | 140105152135504 |
7 | 12315610525012 |
oct | 1720146210600 |
9 | 415166424654 |
10 | 131023311232 |
11 | 50626274aa0 |
12 | 21487537594 |
13 | c480bb4338 |
14 | 64ad3641b2 |
15 | 361caebca7 |
hex | 1e81991180 |
131023311232 has 128 divisors (see below), whose sum is σ = 287665459200. Its totient is φ = 58949130240.
The previous prime is 131023311229. The next prime is 131023311253. The reversal of 131023311232 is 232113320131.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152529619 + ... + 152530477.
It is an arithmetic number, because the mean of its divisors is an integer number (2247386400).
Almost surely, 2131023311232 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131023311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143832729600).
131023311232 is an abundant number, since it is smaller than the sum of its proper divisors (156642147968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131023311232 is a wasteful number, since it uses less digits than its factorization.
131023311232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 22.
Adding to 131023311232 its reverse (232113320131), we get a palindrome (363136631363).
The spelling of 131023311232 in words is "one hundred thirty-one billion, twenty-three million, three hundred eleven thousand, two hundred thirty-two".
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