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131500 = 2253263
BaseRepresentation
bin100000000110101100
320200101101
4200012230
513202000
62452444
71055245
oct400654
9220341
10131500
118a886
1264124
1347b15
1435ccc
1528e6a
hex201ac

131500 has 24 divisors (see below), whose sum is σ = 288288. Its totient is φ = 52400.

The previous prime is 131497. The next prime is 131501. The reversal of 131500 is 5131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (131501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369 + ... + 631.

It is an arithmetic number, because the mean of its divisors is an integer number (12012).

2131500 is an apocalyptic number.

131500 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 131500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144).

131500 is an abundant number, since it is smaller than the sum of its proper divisors (156788).

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

131500 is a wasteful number, since it uses less digits than its factorization.

131500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 131500 is about 362.6292872894. The cubic root of 131500 is about 50.8520639267.

Adding to 131500 its reverse (5131), we get a palindrome (136631).

The spelling of 131500 in words is "one hundred thirty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 263 500 526 1052 1315 2630 5260 6575 13150 26300 32875 65750 131500