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120133 = 139241
BaseRepresentation
bin11101010101000101
320002210101
4131111011
512321013
62324101
71010146
oct352505
9202711
10120133
1182292
1259631
13428b0
1431acd
15258dd
hex1d545

120133 has 4 divisors (see below), whose sum is σ = 129388. Its totient is φ = 110880.

The previous prime is 120121. The next prime is 120157. The reversal of 120133 is 331021.

It is the 142-nd star number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331021 = 477043.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 42849 = 278^2 + 207^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4608 + ... + 4633.

It is an arithmetic number, because the mean of its divisors is an integer number (32347).

2120133 is an apocalyptic number.

120133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120133 is a deficient number, since it is larger than the sum of its proper divisors (9255).

120133 is an equidigital number, since it uses as much as digits as its factorization.

120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9254.

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

The square root of 120133 is about 346.6020773163. The cubic root of 120133 is about 49.3424573255.

Adding to 120133 its reverse (331021), we get a palindrome (451154).

It can be divided in two parts, 120 and 133, that added together give a triangular number (253 = T22).

The spelling of 120133 in words is "one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 13 9241 120133