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131300609 = 1126117789
BaseRepresentation
bin1111101001101…
…11110100000001
3100011001202120112
413310313310001
5232103104414
621010121105
73153015416
oct764676401
9304052515
10131300609
1168130100
1237b80195
132128278b
141361c10d
15b7d8d3e
hex7d37d01

131300609 has 12 divisors (see below), whose sum is σ = 146696340. Its totient is φ = 117400800.

The previous prime is 131300569. The next prime is 131300627. The reversal of 131300609 is 906003131.

It can be written as a sum of positive squares in 2 ways, for example, as 67699984 + 63600625 = 8228^2 + 7975^2 .

It is not a de Polignac number, because 131300609 - 212 = 131296513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131300699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1514 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (12224695).

Almost surely, 2131300609 is an apocalyptic number.

It is an amenable number.

131300609 is a deficient number, since it is larger than the sum of its proper divisors (15395731).

131300609 is a wasteful number, since it uses less digits than its factorization.

131300609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17872 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 131300609 is about 11458.6477823520. The cubic root of 131300609 is about 508.2634891289.

The spelling of 131300609 in words is "one hundred thirty-one million, three hundred thousand, six hundred nine".

Divisors: 1 11 61 121 671 7381 17789 195679 1085129 2152469 11936419 131300609