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131544413 = 71113131413
BaseRepresentation
bin1111101011100…
…11010101011101
3100011112011000022
413311303111131
5232133410123
621015241525
73155052260
oct765632535
9304464008
10131544413
11682872a0
12380792a5
1321339740
1413682cd7
15b8361c8
hex7d7355d

131544413 has 16 divisors (see below), whose sum is σ = 176620416. Its totient is φ = 94616640.

The previous prime is 131544341. The next prime is 131544451. The reversal of 131544413 is 314445131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131544413 - 28 = 131544157 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131544473) 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, 64706 + ... + 66707.

It is an arithmetic number, because the mean of its divisors is an integer number (11038776).

Almost surely, 2131544413 is an apocalyptic number.

131544413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131544413 is a deficient number, since it is larger than the sum of its proper divisors (45076003).

131544413 is a wasteful number, since it uses less digits than its factorization.

131544413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131444.

The product of its digits is 2880, while the sum is 26.

The square root of 131544413 is about 11469.2812765230. The cubic root of 131544413 is about 508.5778823216.

Adding to 131544413 its reverse (314445131), we get a palindrome (445989544).

The spelling of 131544413 in words is "one hundred thirty-one million, five hundred forty-four thousand, four hundred thirteen".

Divisors: 1 7 11 13 77 91 143 1001 131413 919891 1445543 1708369 10118801 11958583 18792059 131544413