Search a number
-
+
120133033 = 1753151883
BaseRepresentation
bin1110010100100…
…01010110101001
322101001101112121
413022101112221
5221223224113
615530511241
72656054036
oct712212651
9271041477
10120133033
11618a27a9
1234295521
131bb72647
1411d5238d
15a82ee8d
hex72915a9

120133033 has 16 divisors (see below), whose sum is σ = 130605696. Its totient is φ = 110073600.

The previous prime is 120133021. The next prime is 120133037. The reversal of 120133033 is 330331021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120133033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120132998 and 120133016.

It is not an unprimeable number, because it can be changed into a prime (120133037) 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, 135610 + ... + 136492.

It is an arithmetic number, because the mean of its divisors is an integer number (8162856).

Almost surely, 2120133033 is an apocalyptic number.

It is an amenable number.

120133033 is a deficient number, since it is larger than the sum of its proper divisors (10472663).

120133033 is a wasteful number, since it uses less digits than its factorization.

120133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 120133033 is about 10960.5215660570. The cubic root of 120133033 is about 493.4246184357.

Adding to 120133033 its reverse (330331021), we get a palindrome (450464054).

The spelling of 120133033 in words is "one hundred twenty million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 17 53 151 883 901 2567 8003 15011 46799 133333 136051 795583 2266661 7066649 120133033