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131700 = 22352439
BaseRepresentation
bin100000001001110100
320200122210
4200021310
513203300
62453420
71055652
oct401164
9220583
10131700
118aa48
1264270
1347c3a
1435dd2
1529050
hex20274

131700 has 36 divisors (see below), whose sum is σ = 381920. Its totient is φ = 35040.

The previous prime is 131687. The next prime is 131701. The reversal of 131700 is 7131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131701) by changing a digit.

131700 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 519.

2131700 is an apocalyptic number.

131700 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 131700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960).

131700 is an abundant number, since it is smaller than the sum of its proper divisors (250220).

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

131700 is a wasteful number, since it uses less digits than its factorization.

131700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 131700 is about 362.9049462325. The cubic root of 131700 is about 50.8778313818.

Adding to 131700 its reverse (7131), we get a palindrome (138831).

The spelling of 131700 in words is "one hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 439 878 1317 1756 2195 2634 4390 5268 6585 8780 10975 13170 21950 26340 32925 43900 65850 131700