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131241 = 3114197
BaseRepresentation
bin100000000010101001
320200000210
4200002221
513144431
62451333
71054425
oct400251
9220023
10131241
118a670
1263b49
1347976
1435b85
1528d46
hex200a9

131241 has 16 divisors (see below), whose sum is σ = 197568. Its totient is φ = 76800.

The previous prime is 131231. The next prime is 131249. The reversal of 131241 is 142131.

It is a happy number.

It is not a de Polignac number, because 131241 - 27 = 131113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 1401.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2131241 is an apocalyptic number.

131241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131241 is the 194-th nonagonal number.

It is an amenable number.

131241 is a deficient number, since it is larger than the sum of its proper divisors (66327).

131241 is a wasteful number, since it uses less digits than its factorization.

131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 24, while the sum is 12.

The square root of 131241 is about 362.2719972617. The cubic root of 131241 is about 50.8186562184.

Adding to 131241 its reverse (142131), we get a palindrome (273372).

The spelling of 131241 in words is "one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 11 33 41 97 123 291 451 1067 1353 3201 3977 11931 43747 131241