Base | Representation |
---|---|
bin | 1111101000111… |
… | …11010000000010 |
3 | 100010212122120100 |
4 | 13310133100002 |
5 | 232041400002 |
6 | 21004023230 |
7 | 3152116203 |
oct | 764372002 |
9 | 303778510 |
10 | 131200002 |
11 | 6807155a |
12 | 37b31b16 |
13 | 21248a4b |
14 | 135d35aa |
15 | b7b911c |
hex | 7d1f402 |
131200002 has 48 divisors (see below), whose sum is σ = 302061240. Its totient is φ = 41078016.
The previous prime is 131199989. The next prime is 131200007. The reversal of 131200002 is 200002131.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 112975641 + 18224361 = 10629^2 + 4269^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (131200007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15918 + ... + 22710.
Almost surely, 2131200002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151030620).
131200002 is an abundant number, since it is smaller than the sum of its proper divisors (170861238).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131200002 is a wasteful number, since it uses less digits than its factorization.
131200002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6867 (or 6864 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 131200002 is about 11454.2569379249. The cubic root of 131200002 is about 508.1336396910.
Adding to 131200002 its reverse (200002131), we get a palindrome (331202133).
It can be divided in two parts, 131 and 200002, that multiplied together give a palindrome (26200262).
The spelling of 131200002 in words is "one hundred thirty-one million, two hundred thousand, two".
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