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131200065 = 3252915557
BaseRepresentation
bin1111101000111…
…11010001000001
3100010212122122200
413310133101001
5232041400230
621004023413
73152116323
oct764372101
9303778580
10131200065
1168071607
1237b31b69
1321248a99
14135d3613
15b7b9160
hex7d1f441

131200065 has 12 divisors (see below), whose sum is σ = 227413524. Its totient is φ = 69973344.

The previous prime is 131200063. The next prime is 131200079. The reversal of 131200065 is 560002131.

It can be written as a sum of positive squares in 2 ways, for example, as 21013056 + 110187009 = 4584^2 + 10497^2 .

It is not a de Polignac number, because 131200065 - 21 = 131200063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131200063) 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, 1457734 + ... + 1457823.

It is an arithmetic number, because the mean of its divisors is an integer number (18951127).

Almost surely, 2131200065 is an apocalyptic number.

131200065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131200065 is a deficient number, since it is larger than the sum of its proper divisors (96213459).

131200065 is a wasteful number, since it uses less digits than its factorization.

131200065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915568 (or 2915565 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131200065 is about 11454.2596879938. The cubic root of 131200065 is about 508.1337210233.

Adding to 131200065 its reverse (560002131), we get a palindrome (691202196).

The spelling of 131200065 in words is "one hundred thirty-one million, two hundred thousand, sixty-five".

Divisors: 1 3 5 9 15 45 2915557 8746671 14577785 26240013 43733355 131200065