| Base | Representation |
|---|---|
| bin | 111101001010100110… |
| … | …0000111011111000010 |
| 3 | 110120001010221222120120 |
| 4 | 1322111030013133002 |
| 5 | 4123002103003300 |
| 6 | 140201533121110 |
| 7 | 12330011403426 |
| oct | 1722514073702 |
| 9 | 416033858516 |
| 10 | 131352000450 |
| 11 | 50784864080 |
| 12 | 21559629196 |
| 13 | c5040185b8 |
| 14 | 6500c84b86 |
| 15 | 363b8c63a0 |
| hex | 1e953077c2 |
131352000450 has 192 divisors, whose sum is σ = 362333952000. Its totient is φ = 31224211200.
The previous prime is 131352000433. The next prime is 131352000457. The reversal of 131352000450 is 54000253131.
131352000450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 131352000450.
It is not an unprimeable number, because it can be changed into a prime (131352000457) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19418769 + ... + 19425531.
It is an arithmetic number, because the mean of its divisors is an integer number (1887156000).
Almost surely, 2131352000450 is an apocalyptic number.
131352000450 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 131352000450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181166976000).
131352000450 is an abundant number, since it is smaller than the sum of its proper divisors (230981951550).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131352000450 is a wasteful number, since it uses less digits than its factorization.
131352000450 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7017 (or 7012 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 24.
Adding to 131352000450 its reverse (54000253131), we get a palindrome (185352253581).
The spelling of 131352000450 in words is "one hundred thirty-one billion, three hundred fifty-two million, four hundred fifty", and thus it is an aban number.
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