| Base | Representation |
|---|---|
| bin | 1111101101010… |
| … | …10100000000000 |
| 3 | 100011221121222000 |
| 4 | 13312222200000 |
| 5 | 232213122433 |
| 6 | 21024144000 |
| 7 | 3160013112 |
| oct | 766524000 |
| 9 | 304847860 |
| 10 | 131770368 |
| 11 | 68421034 |
| 12 | 38168000 |
| 13 | 213b8542 |
| 14 | 137013b2 |
| 15 | b87d113 |
| hex | 7daa800 |
131770368 has 96 divisors (see below), whose sum is σ = 390499200. Its totient is φ = 43905024.
The previous prime is 131770363. The next prime is 131770399. The reversal of 131770368 is 863077131.
131770368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×1317703683 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (131770363) 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 7 ways as a sum of consecutive naturals, for example, 54105 + ... + 56487.
It is an arithmetic number, because the mean of its divisors is an integer number (4067700).
Almost surely, 2131770368 is an apocalyptic number.
131770368 is a gapful number since it is divisible by the number (18) 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 131770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195249600).
131770368 is an abundant number, since it is smaller than the sum of its proper divisors (258728832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131770368 is an equidigital number, since it uses as much as digits as its factorization.
131770368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2414 (or 2388 counting only the distinct ones).
The product of its (nonzero) digits is 21168, while the sum is 36.
The square root of 131770368 is about 11479.1274929761. The cubic root of 131770368 is about 508.8689119904.
The spelling of 131770368 in words is "one hundred thirty-one million, seven hundred seventy thousand, three hundred sixty-eight".
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