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132301 = 1310177
BaseRepresentation
bin100000010011001101
320201111001
4200103031
513213201
62500301
71060501
oct402315
9221431
10132301
1190444
1264691
13482b0
1436301
1529301
hex204cd

132301 has 4 divisors (see below), whose sum is σ = 142492. Its totient is φ = 122112.

The previous prime is 132299. The next prime is 132313. The reversal of 132301 is 103231.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 51076 + 81225 = 226^2 + 285^2 .

It is a cyclic number.

It is not a de Polignac number, because 132301 - 21 = 132299 is a prime.

It is a super-3 number, since 3×1323013 = 6947213331800703, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5076 + ... + 5101.

It is an arithmetic number, because the mean of its divisors is an integer number (35623).

2132301 is an apocalyptic number.

It is an amenable number.

132301 is a deficient number, since it is larger than the sum of its proper divisors (10191).

132301 is a wasteful number, since it uses less digits than its factorization.

132301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 132301 is about 363.7320442304. The cubic root of 132301 is about 50.9551059493.

Adding to 132301 its reverse (103231), we get a palindrome (235532).

It can be divided in two parts, 13230 and 1, that added together give a palindrome (13231).

The spelling of 132301 in words is "one hundred thirty-two thousand, three hundred one".

Divisors: 1 13 10177 132301