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131333500 = 22531715451
BaseRepresentation
bin1111101001111…
…11110101111100
3100011010102200201
413310333311330
5232110133000
621010533244
73153213334
oct764776574
9304112621
10131333500
1168152891
1237b97224
132129473c
141362a0c4
15b7e396a
hex7d3fd7c

131333500 has 48 divisors (see below), whose sum is σ = 303724512. Its totient is φ = 49440000.

The previous prime is 131333443. The next prime is 131333507. The reversal of 131333500 is 5333131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131333507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775 + ... + 16225.

It is an arithmetic number, because the mean of its divisors is an integer number (6327594).

Almost surely, 2131333500 is an apocalyptic number.

131333500 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 131333500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151862256).

131333500 is an abundant number, since it is smaller than the sum of its proper divisors (172391012).

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

131333500 is a wasteful number, since it uses less digits than its factorization.

131333500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15487 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 131333500 is about 11460.0828967333. The cubic root of 131333500 is about 508.3059258417.

Adding to 131333500 its reverse (5333131), we get a palindrome (136666631).

The spelling of 131333500 in words is "one hundred thirty-one million, three hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 8500 15451 30902 61804 77255 154510 262667 309020 386275 525334 772550 1050668 1313335 1545100 1931375 2626670 3862750 5253340 6566675 7725500 13133350 26266700 32833375 65666750 131333500