Base | Representation |
---|---|
bin | 1111101010101… |
… | …01110001100000 |
3 | 100011021222220200 |
4 | 13311111301200 |
5 | 232121021303 |
6 | 21012505200 |
7 | 3154036251 |
oct | 765256140 |
9 | 304258820 |
10 | 131423328 |
11 | 68204323 |
12 | 3801b200 |
13 | 212c65aa |
14 | 13650b28 |
15 | b8103a3 |
hex | 7d55c60 |
131423328 has 108 divisors (see below), whose sum is σ = 397264140. Its totient is φ = 41204736.
The previous prime is 131423317. The next prime is 131423333. The reversal of 131423328 is 823324131.
131423328 is a `hidden beast` number, since 1 + 314 + 23 + 328 = 666.
It is a super-2 number, since 2×1314233282 = 34544182285191168, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82443 + ... + 84021.
Almost surely, 2131423328 is an apocalyptic number.
131423328 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 131423328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198632070).
131423328 is an abundant number, since it is smaller than the sum of its proper divisors (265840812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131423328 is a wasteful number, since it uses less digits than its factorization.
131423328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1629 (or 1601 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 131423328 is about 11464.0013956733. The cubic root of 131423328 is about 508.4217878740.
Adding to 131423328 its reverse (823324131), we get a palindrome (954747459).
It can be divided in two parts, 1314 and 23328, that added together give a palindrome (24642).
The spelling of 131423328 in words is "one hundred thirty-one million, four hundred twenty-three thousand, three hundred twenty-eight".
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