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131540441 = 1759313419
BaseRepresentation
bin1111101011100…
…10010111011001
3100011111221120012
413311302113121
5232133243231
621015211305
73155034554
oct765622731
9304457505
10131540441
116828430a
1238076b35
13213379a6
141368169b
15b834e2b
hex7d725d9

131540441 has 16 divisors (see below), whose sum is σ = 142430400. Its totient is φ = 121026048.

The previous prime is 131540417. The next prime is 131540449. The reversal of 131540441 is 144045131.

It is a cyclic number.

It is not a de Polignac number, because 131540441 - 222 = 127346137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131540449) 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 15 ways as a sum of consecutive naturals, for example, 313730 + ... + 314148.

It is an arithmetic number, because the mean of its divisors is an integer number (8901900).

Almost surely, 2131540441 is an apocalyptic number.

It is an amenable number.

131540441 is a deficient number, since it is larger than the sum of its proper divisors (10889959).

131540441 is a wasteful number, since it uses less digits than its factorization.

131540441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 131540441 is about 11469.1081170246. The cubic root of 131540441 is about 508.5727634125.

Adding to 131540441 its reverse (144045131), we get a palindrome (275585572).

The spelling of 131540441 in words is "one hundred thirty-one million, five hundred forty thousand, four hundred forty-one".

Divisors: 1 17 59 313 419 1003 5321 7123 18467 24721 131147 313939 420257 2229499 7737673 131540441