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131200 = 275241
BaseRepresentation
bin100000000010000000
320122222021
4200002000
513144300
62451224
71054336
oct400200
9218867
10131200
118a633
1263b14
1347944
1435b56
1528d1a
hex20080

131200 has 48 divisors (see below), whose sum is σ = 332010. Its totient is φ = 51200.

The previous prime is 131171. The next prime is 131203. The reversal of 131200 is 2131.

It can be written as a sum of positive squares in 3 ways, for example, as 61504 + 69696 = 248^2 + 264^2 .

It is not an unprimeable number, because it can be changed into a prime (131203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3180 + ... + 3220.

2131200 is an apocalyptic number.

131200 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 131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166005).

131200 is an abundant number, since it is smaller than the sum of its proper divisors (200810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131200 is an equidigital number, since it uses as much as digits as its factorization.

131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 131200 is about 362.2154055255. The cubic root of 131200 is about 50.8133637109.

Adding to 131200 its reverse (2131), we get a palindrome (133331).

The spelling of 131200 in words is "one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 160 164 200 205 320 328 400 410 640 656 800 820 1025 1312 1600 1640 2050 2624 3200 3280 4100 5248 6560 8200 13120 16400 26240 32800 65600 131200