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120755313 = 3372327779
BaseRepresentation
bin1110011001010…
…01010001110001
322102020000011000
413030221101301
5221403132223
615552112213
72664255210
oct714512161
9272200130
10120755313
1162188288
1234535669
131c02c963
1412075077
15a904543
hex7329471

120755313 has 32 divisors (see below), whose sum is σ = 213350400. Its totient is φ = 66000528.

The previous prime is 120755281. The next prime is 120755321. The reversal of 120755313 is 313557021.

120755313 is a `hidden beast` number, since 120 + 7 + 5 + 531 + 3 = 666.

It is not a de Polignac number, because 120755313 - 25 = 120755281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120755413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9543 + ... + 18236.

It is an arithmetic number, because the mean of its divisors is an integer number (6667200).

Almost surely, 2120755313 is an apocalyptic number.

It is an amenable number.

120755313 is a deficient number, since it is larger than the sum of its proper divisors (92595087).

120755313 is a wasteful number, since it uses less digits than its factorization.

120755313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27818 (or 27812 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 120755313 is about 10988.8722351295. The cubic root of 120755313 is about 494.2751189796.

The spelling of 120755313 in words is "one hundred twenty million, seven hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 27779 83337 194453 250011 583359 638917 750033 1750077 1916751 4472419 5250231 5750253 13417257 17250759 40251771 120755313