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120132233 = 1311178273
BaseRepresentation
bin1110010100100…
…01001010001001
322101001100102222
413022101022021
5221223212413
615530503425
72656051514
oct712211211
9271040388
10120132233
11618a2141
1234294b75
131bb72180
1411d51d7b
15a82eb08
hex7291289

120132233 has 8 divisors (see below), whose sum is σ = 129504648. Its totient is φ = 110778624.

The previous prime is 120132227. The next prime is 120132247. The reversal of 120132233 is 332231021.

It can be written as a sum of positive squares in 4 ways, for example, as 273529 + 119858704 = 523^2 + 10948^2 .

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 120132233 - 26 = 120132169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10385 + ... + 18657.

It is an arithmetic number, because the mean of its divisors is an integer number (16188081).

Almost surely, 2120132233 is an apocalyptic number.

120132233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120132233 is a deficient number, since it is larger than the sum of its proper divisors (9372415).

120132233 is a wasteful number, since it uses less digits than its factorization.

120132233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 120132233 is about 10960.4850713826. The cubic root of 120132233 is about 493.4235231484.

Adding to 120132233 its reverse (332231021), we get a palindrome (452363254).

The spelling of 120132233 in words is "one hundred twenty million, one hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 13 1117 8273 14521 107549 9240941 120132233