Base | Representation |
---|---|
bin | 1111101001111… |
… | …11110100100100 |
3 | 100011010102120110 |
4 | 13310333310210 |
5 | 232110132122 |
6 | 21010533020 |
7 | 3153213150 |
oct | 764776444 |
9 | 304112513 |
10 | 131333412 |
11 | 68152811 |
12 | 37b97170 |
13 | 212946a2 |
14 | 1362a060 |
15 | b7e390c |
hex | 7d3fd24 |
131333412 has 48 divisors (see below), whose sum is σ = 352080512. Its totient is φ = 37324800.
The previous prime is 131333407. The next prime is 131333413. The reversal of 131333412 is 214333131.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (131333413) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12162 + ... + 20262.
Almost surely, 2131333412 is an apocalyptic number.
131333412 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 131333412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176040256).
131333412 is an abundant number, since it is smaller than the sum of its proper divisors (220747100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131333412 is a wasteful number, since it uses less digits than its factorization.
131333412 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8308 (or 8306 counting only the distinct ones).
The product of its digits is 648, while the sum is 21.
The square root of 131333412 is about 11460.0790573189. The cubic root of 131333412 is about 508.3058123116.
Adding to 131333412 its reverse (214333131), we get a palindrome (345666543).
The spelling of 131333412 in words is "one hundred thirty-one million, three hundred thirty-three thousand, four hundred twelve".
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