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131100 = 223521923
BaseRepresentation
bin100000000000011100
320122211120
4200000130
513143400
62450540
71054134
oct400034
9218746
10131100
118a552
1263a50
1347898
1435ac4
1528ca0
hex2001c

131100 has 72 divisors (see below), whose sum is σ = 416640. Its totient is φ = 31680.

The previous prime is 131071. The next prime is 131101. The reversal of 131100 is 1131.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5689 + ... + 5711.

2131100 is an apocalyptic number.

131100 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 131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

131100 is an abundant number, since it is smaller than the sum of its proper divisors (285540).

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

131100 is a wasteful number, since it uses less digits than its factorization.

131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 131100 is about 362.0773398046. The cubic root of 131100 is about 50.8004505302.

Adding to 131100 its reverse (1131), we get a palindrome (132231).

It can be divided in two parts, 131 and 100, that added together give a triangular number (231 = T21).

The spelling of 131100 in words is "one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 23 25 30 38 46 50 57 60 69 75 76 92 95 100 114 115 138 150 190 228 230 276 285 300 345 380 437 460 475 570 575 690 874 950 1140 1150 1311 1380 1425 1725 1748 1900 2185 2300 2622 2850 3450 4370 5244 5700 6555 6900 8740 10925 13110 21850 26220 32775 43700 65550 131100