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131327300 = 225213101021
BaseRepresentation
bin1111101001111…
…10010101000100
3100011010010012002
413310332111010
5232104433200
621010444432
73153156266
oct764762504
9304103162
10131327300
1168149165
1237b93718
1321291980
1413627b36
15b7e1bd5
hex7d3e544

131327300 has 36 divisors (see below), whose sum is σ = 306904836. Its totient is φ = 48489600.

The previous prime is 131327299. The next prime is 131327311. The reversal of 131327300 is 3723131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 52330756 + 78996544 = 7234^2 + 8888^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49211 + ... + 51810.

Almost surely, 2131327300 is an apocalyptic number.

131327300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131327300 is an abundant number, since it is smaller than the sum of its proper divisors (175577536).

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

131327300 is a wasteful number, since it uses less digits than its factorization.

131327300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101048 (or 101041 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 131327300 is about 11459.8123893893. The cubic root of 131327300 is about 508.2979270033.

The spelling of 131327300 in words is "one hundred thirty-one million, three hundred twenty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 101021 202042 404084 505105 1010210 1313273 2020420 2525525 2626546 5051050 5253092 6566365 10102100 13132730 26265460 32831825 65663650 131327300