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131300065 = 5132020001
BaseRepresentation
bin1111101001101…
…11101011100001
3100011001201211101
413310313223201
5232103100230
621010114401
73153014011
oct764675341
9304051741
10131300065
116812a756
1237b7ba01
1321282460
141361bc41
15b7d8aca
hex7d37ae1

131300065 has 8 divisors (see below), whose sum is σ = 169680168. Its totient is φ = 96960000.

The previous prime is 131300053. The next prime is 131300069. The reversal of 131300065 is 560003131.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 131033809 = 516^2 + 11447^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131300065 - 211 = 131298017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131300069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1009936 + ... + 1010065.

It is an arithmetic number, because the mean of its divisors is an integer number (21210021).

Almost surely, 2131300065 is an apocalyptic number.

It is an amenable number.

131300065 is a deficient number, since it is larger than the sum of its proper divisors (38380103).

131300065 is a wasteful number, since it uses less digits than its factorization.

131300065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020019.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 131300065 is about 11458.6240447970. The cubic root of 131300065 is about 508.2627871882.

Adding to 131300065 its reverse (560003131), we get a palindrome (691303196).

It can be divided in two parts, 13 and 1300065, that added together give a triangular number (1300078 = T1612).

The spelling of 131300065 in words is "one hundred thirty-one million, three hundred thousand, sixty-five".

Divisors: 1 5 13 65 2020001 10100005 26260013 131300065