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120141333 = 3313342283
BaseRepresentation
bin1110010100100…
…11011000010101
322101001210221000
413022103120111
5221224010313
615531013513
72656120164
oct712233025
9271053830
10120141333
11618a8a64
123429a299
131bb76360
1411d553db
15a832673
hex7293615

120141333 has 16 divisors (see below), whose sum is σ = 191679040. Its totient is φ = 73932912.

The previous prime is 120141319. The next prime is 120141341. The reversal of 120141333 is 333141021.

It is not a de Polignac number, because 120141333 - 29 = 120140821 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 (120141433) 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 15 ways as a sum of consecutive naturals, for example, 170791 + ... + 171492.

It is an arithmetic number, because the mean of its divisors is an integer number (11979940).

Almost surely, 2120141333 is an apocalyptic number.

120141333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

120141333 is a deficient number, since it is larger than the sum of its proper divisors (71537707).

120141333 is a wasteful number, since it uses less digits than its factorization.

120141333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342305 (or 342299 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 120141333 is about 10960.9001911339. The cubic root of 120141333 is about 493.4359817549.

Adding to 120141333 its reverse (333141021), we get a palindrome (453282354).

The spelling of 120141333 in words is "one hundred twenty million, one hundred forty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 342283 1026849 3080547 4449679 9241641 13349037 40047111 120141333