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132103313 = 1097571601
BaseRepresentation
bin1111101111110…
…11110010010001
3100012120112200022
413313323302101
5232304301223
621035233225
73162600566
oct767736221
9305515608
10132103313
11686291a1
12382a8815
13214a3c54
141378a86d
15b8e6ac8
hex7dfbc91

132103313 has 8 divisors (see below), whose sum is σ = 133574760. Its totient is φ = 130636800.

The previous prime is 132103303. The next prime is 132103327. The reversal of 132103313 is 313301231.

It can be written as a sum of positive squares in 4 ways, for example, as 83759104 + 48344209 = 9152^2 + 6953^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132103313 - 224 = 115326097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132103291 and 132103300.

It is not an unprimeable number, because it can be changed into a prime (132103303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81713 + ... + 83313.

It is an arithmetic number, because the mean of its divisors is an integer number (16696845).

Almost surely, 2132103313 is an apocalyptic number.

It is an amenable number.

132103313 is a deficient number, since it is larger than the sum of its proper divisors (1471447).

132103313 is a wasteful number, since it uses less digits than its factorization.

132103313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 132103313 is about 11493.6205348880. The cubic root of 132103313 is about 509.2971389290.

Adding to 132103313 its reverse (313301231), we get a palindrome (445404544).

The spelling of 132103313 in words is "one hundred thirty-two million, one hundred three thousand, three hundred thirteen".

Divisors: 1 109 757 1601 82513 174509 1211957 132103313