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120232133 = 73192971
BaseRepresentation
bin1110010101010…
…01100011000101
322101020102110222
413022221203011
5221234412013
615532554125
72656646000
oct712514305
9271212428
10120232133
11619601aa
1234322945
131bba8798
1411d7a537
15a84e508
hex72a98c5

120232133 has 24 divisors (see below), whose sum is σ = 148132800. Its totient is φ = 97531560.

The previous prime is 120232111. The next prime is 120232141. The reversal of 120232133 is 331232021.

It is not a de Polignac number, because 120232133 - 26 = 120232069 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 (120232163) 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 23 ways as a sum of consecutive naturals, for example, 123338 + ... + 124308.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 2120232133 is an apocalyptic number.

It is an amenable number.

120232133 is a deficient number, since it is larger than the sum of its proper divisors (27900667).

120232133 is an frugal number, since it uses more digits than its factorization.

120232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 997 counting only the distinct ones).

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

The square root of 120232133 is about 10965.0414043906. The cubic root of 120232133 is about 493.5602595631.

Adding to 120232133 its reverse (331232021), we get a palindrome (451464154).

The spelling of 120232133 in words is "one hundred twenty million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 19 49 133 343 361 931 971 2527 6517 6797 17689 18449 47579 123823 129143 333053 350531 904001 2453717 6328007 17176019 120232133