Base | Representation |
---|---|
bin | 1111101001111… |
… | …11111110100000 |
3 | 100011010110110000 |
4 | 13310333332200 |
5 | 232110142143 |
6 | 21010540000 |
7 | 3153215046 |
oct | 764777640 |
9 | 304113400 |
10 | 131334048 |
11 | 6815323a |
12 | 37b97600 |
13 | 21294a71 |
14 | 1362a396 |
15 | b7e3bd3 |
hex | 7d3ffa0 |
131334048 has 120 divisors (see below), whose sum is σ = 403226208. Its totient is φ = 41855616.
The previous prime is 131334043. The next prime is 131334079. The reversal of 131334048 is 840433131.
131334048 is a `hidden beast` number, since 1 + 313 + 340 + 4 + 8 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (131334041) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58515 + ... + 60717.
Almost surely, 2131334048 is an apocalyptic number.
131334048 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 131334048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201613104).
131334048 is an abundant number, since it is smaller than the sum of its proper divisors (271892160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131334048 is a wasteful number, since it uses less digits than its factorization.
131334048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2248 (or 2231 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 131334048 is about 11460.1068057850. The cubic root of 131334048 is about 508.3066328237.
Adding to 131334048 its reverse (840433131), we get a palindrome (971767179).
The spelling of 131334048 in words is "one hundred thirty-one million, three hundred thirty-four thousand, forty-eight".
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