Base | Representation |
---|---|
bin | 11101110101101011010101… |
… | …111101000010111111100000 |
3 | 122012122122210010120210012221 |
4 | 131311223111331002333200 |
5 | 114200101134144441112 |
6 | 1143035054033000424 |
7 | 36433125541444063 |
oct | 3565532575027740 |
9 | 565578703523187 |
10 | 131232020312032 |
11 | 388a6207288712 |
12 | 1287578a0b3114 |
13 | 582c184971793 |
14 | 24599411968da |
15 | 10289a5433e07 |
hex | 775ad5f42fe0 |
131232020312032 has 192 divisors, whose sum is σ = 268906821442560. Its totient is φ = 63006128640000.
The previous prime is 131232020312023. The next prime is 131232020312059. The reversal of 131232020312032 is 230213020232131.
It is a junction number, because it is equal to n+sod(n) for n = 131232020311988 and 131232020312006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19648450069 + ... + 19648456747.
It is an arithmetic number, because the mean of its divisors is an integer number (1400556361680).
Almost surely, 2131232020312032 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 131232020312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134453410721280).
131232020312032 is an abundant number, since it is smaller than the sum of its proper divisors (137674801130528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131232020312032 is a wasteful number, since it uses less digits than its factorization.
131232020312032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8017 (or 8009 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 25.
Adding to 131232020312032 its reverse (230213020232131), we get a palindrome (361445040544163).
The spelling of 131232020312032 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, twenty million, three hundred twelve thousand, thirty-two".
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