Base | Representation |
---|---|
bin | 1111101001111… |
… | …01010010011000 |
3 | 100011002220100000 |
4 | 13310331102120 |
5 | 232104314112 |
6 | 21010413000 |
7 | 3153140661 |
oct | 764752230 |
9 | 304086300 |
10 | 131323032 |
11 | 68145a35 |
12 | 37b91160 |
13 | 2128ca49 |
14 | 13626368 |
15 | b7e07dc |
hex | 7d3d498 |
131323032 has 96 divisors (see below), whose sum is σ = 377657280. Its totient is φ = 42729120.
The previous prime is 131323013. The next prime is 131323051. The reversal of 131323032 is 230323131.
It is an interprime number because it is at equal distance from previous prime (131323013) and next prime (131323051).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 131322996 and 131323014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82807 + ... + 84377.
It is an arithmetic number, because the mean of its divisors is an integer number (3933930).
Almost surely, 2131323032 is an apocalyptic number.
131323032 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 131323032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188828640).
131323032 is an abundant number, since it is smaller than the sum of its proper divisors (246334248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131323032 is a wasteful number, since it uses less digits than its factorization.
131323032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1635 (or 1619 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 131323032 is about 11459.6261719133. The cubic root of 131323032 is about 508.2924205599.
Adding to 131323032 its reverse (230323131), we get a palindrome (361646163).
Subtracting 131323032 from its reverse (230323131), we obtain a palindrome (99000099).
The spelling of 131323032 in words is "one hundred thirty-one million, three hundred twenty-three thousand, thirty-two".
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