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120042333 = 3219369109
BaseRepresentation
bin1110010011110…
…11001101011101
322100212210010100
413021323031131
5221212323313
615524531313
72655225435
oct711731535
9270783110
10120042333
1161840644
1234250b39
131bb40288
1411d2b2c5
15a813173
hex727b35d

120042333 has 12 divisors (see below), whose sum is σ = 174295420. Its totient is φ = 79612416.

The previous prime is 120042311. The next prime is 120042347. The reversal of 120042333 is 333240021.

It can be written as a sum of positive squares in 2 ways, for example, as 49028004 + 71014329 = 7002^2 + 8427^2 .

It is not a de Polignac number, because 120042333 - 26 = 120042269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120042353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32818 + ... + 36291.

Almost surely, 2120042333 is an apocalyptic number.

It is an amenable number.

120042333 is a deficient number, since it is larger than the sum of its proper divisors (54253087).

120042333 is a wasteful number, since it uses less digits than its factorization.

120042333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69308 (or 69305 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 120042333 is about 10956.3832079752. The cubic root of 120042333 is about 493.3004092446.

Adding to 120042333 its reverse (333240021), we get a palindrome (453282354).

The spelling of 120042333 in words is "one hundred twenty million, forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 193 579 1737 69109 207327 621981 13338037 40014111 120042333