Base | Representation |
---|---|
bin | 1111101001000… |
… | …01101100010000 |
3 | 100010220011021122 |
4 | 13310201230100 |
5 | 232042210000 |
6 | 21004141412 |
7 | 3152160305 |
oct | 764415420 |
9 | 303804248 |
10 | 131210000 |
11 | 68079019 |
12 | 37b37868 |
13 | 2125046c |
14 | 135d70ac |
15 | b7bc085 |
hex | 7d21b10 |
131210000 has 50 divisors (see below), whose sum is σ = 317696742. Its totient is φ = 52480000.
The previous prime is 131209997. The next prime is 131210021. The reversal of 131210000 is 12131.
It can be written as a sum of positive squares in 5 ways, for example, as 77510416 + 53699584 = 8804^2 + 7328^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 131210000.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3440 + ... + 16560.
Almost surely, 2131210000 is an apocalyptic number.
131210000 is a gapful number since it is divisible by the number (10) 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 131210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158848371).
131210000 is an abundant number, since it is smaller than the sum of its proper divisors (186486742).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131210000 is an equidigital number, since it uses as much as digits as its factorization.
131210000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13149 (or 13128 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
The square root of 131210000 is about 11454.6933612384. The cubic root of 131210000 is about 508.1465466803.
Adding to 131210000 its reverse (12131), we get a palindrome (131222131).
The spelling of 131210000 in words is "one hundred thirty-one million, two hundred ten thousand".
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