| Base | Representation |
|---|---|
| bin | 1111101000100… |
| … | …01110010000000 |
| 3 | 100010202211220000 |
| 4 | 13310101302000 |
| 5 | 232033113312 |
| 6 | 21002520000 |
| 7 | 3151466310 |
| oct | 764216200 |
| 9 | 303684800 |
| 10 | 131144832 |
| 11 | 68034065 |
| 12 | 37b06000 |
| 13 | 212298c0 |
| 14 | 135bb440 |
| 15 | b7a7adc |
| hex | 7d11c80 |
131144832 has 320 divisors, whose sum is σ = 483806400. Its totient is φ = 34338816.
The previous prime is 131144813. The next prime is 131144837. The reversal of 131144832 is 238441131.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 131144796 and 131144805.
It is not an unprimeable number, because it can be changed into a prime (131144837) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943419 + ... + 943557.
It is an arithmetic number, because the mean of its divisors is an integer number (1511895).
Almost surely, 2131144832 is an apocalyptic number.
131144832 is a gapful number since it is divisible by the number (12) 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 131144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241903200).
131144832 is an abundant number, since it is smaller than the sum of its proper divisors (352661568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131144832 is a wasteful number, since it uses less digits than its factorization.
131144832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 185 (or 164 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 131144832 is about 11451.8484097546. The cubic root of 131144832 is about 508.0624057915.
Adding to 131144832 its reverse (238441131), we get a palindrome (369585963).
The spelling of 131144832 in words is "one hundred thirty-one million, one hundred forty-four thousand, eight hundred thirty-two".
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