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132120313 = 132839419
BaseRepresentation
bin1111101111111…
…11111011111001
3100012121101222221
413313333323321
5232310322223
621035444041
73163001263
oct767777371
9305541887
10132120313
116863aa46
12382b6621
13214ab900
1413792b33
15b8ebb5d
hex7dffef9

132120313 has 12 divisors (see below), whose sum is σ = 144804240. Its totient is φ = 120475056.

The previous prime is 132120301. The next prime is 132120323. The reversal of 132120313 is 313021231.

It is a de Polignac number, because none of the positive numbers 2k-132120313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132120323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9318 + ... + 18736.

It is an arithmetic number, because the mean of its divisors is an integer number (12067020).

Almost surely, 2132120313 is an apocalyptic number.

132120313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132120313 is a deficient number, since it is larger than the sum of its proper divisors (12683927).

132120313 is an equidigital number, since it uses as much as digits as its factorization.

132120313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 132120313 is about 11494.3600517819. The cubic root of 132120313 is about 509.3189846592.

Adding to 132120313 its reverse (313021231), we get a palindrome (445141544).

The spelling of 132120313 in words is "one hundred thirty-two million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 13 83 169 1079 9419 14027 122447 781777 1591811 10163101 132120313