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131000 = 2353131
BaseRepresentation
bin11111111110111000
320122200212
4133332320
513143000
62450252
71053632
oct377670
9218625
10131000
118a471
1263988
134781c
1435a52
1528c35
hex1ffb8

131000 has 32 divisors (see below), whose sum is σ = 308880. Its totient is φ = 52000.

The previous prime is 130987. The next prime is 131009. The reversal of 131000 is 131.

It is a super-2 number, since 2×1310002 = 34322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131009) by changing a digit.

131000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 935 + ... + 1065.

2131000 is an apocalyptic number.

131000 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 131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154440).

131000 is an abundant number, since it is smaller than the sum of its proper divisors (177880).

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

131000 is a wasteful number, since it uses less digits than its factorization.

131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 131000 is about 361.9392214171. The cubic root of 131000 is about 50.7875307813.

Adding to 131000 its reverse (131), we get a palindrome (131131).

131000 divided by its reverse (131) gives a cube (1000 = 103).

The spelling of 131000 in words is "one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 655 1000 1048 1310 2620 3275 5240 6550 13100 16375 26200 32750 65500 131000