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131689041 = 31110693733
BaseRepresentation
bin1111101100101…
…10101001010001
3100011210111101220
413312112221101
5232203022131
621022315253
73156224031
oct766265121
9304714356
10131689041
1168375a20
1238128b29
132138a513
14136bd8c1
15b863e96
hex7d96a51

131689041 has 16 divisors (see below), whose sum is σ = 191778240. Its totient is φ = 79715520.

The previous prime is 131689027. The next prime is 131689049. The reversal of 131689041 is 140986131.

It is not a de Polignac number, because 131689041 - 25 = 131689009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 131688993 and 131689011.

It is not an unprimeable number, because it can be changed into a prime (131689049) 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, 33411 + ... + 37143.

It is an arithmetic number, because the mean of its divisors is an integer number (11986140).

Almost surely, 2131689041 is an apocalyptic number.

131689041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131689041 is a deficient number, since it is larger than the sum of its proper divisors (60089199).

131689041 is a wasteful number, since it uses less digits than its factorization.

131689041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 131689041 is about 11475.5845602740. The cubic root of 131689041 is about 508.7642012991.

The spelling of 131689041 in words is "one hundred thirty-one million, six hundred eighty-nine thousand, forty-one".

Divisors: 1 3 11 33 1069 3207 3733 11199 11759 35277 41063 123189 3990577 11971731 43896347 131689041