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120442220133 = 3167727330679
BaseRepresentation
bin111000000101011101…
…0100110111001100101
3102111212211021201110220
41300022322212321211
53433131202021013
6131155210434553
711462445656634
oct1601272467145
9374784251426
10120442220133
1147096547704
121b413a32a59
13b4859bbba1
145b87d7b51b
1531edc08b23
hex1c0aea6e65

120442220133 has 16 divisors (see below), whose sum is σ = 161773946880. Its totient is φ = 79703979696.

The previous prime is 120442220131. The next prime is 120442220149. The reversal of 120442220133 is 331022244021.

It is a happy number.

It is not a de Polignac number, because 120442220133 - 21 = 120442220131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120442220131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198888 + ... + 529566.

It is an arithmetic number, because the mean of its divisors is an integer number (10110871680).

Almost surely, 2120442220133 is an apocalyptic number.

It is an amenable number.

120442220133 is a deficient number, since it is larger than the sum of its proper divisors (41331726747).

120442220133 is a wasteful number, since it uses less digits than its factorization.

120442220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331576.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 120442220133 its reverse (331022244021), we get a palindrome (451464464154).

The spelling of 120442220133 in words is "one hundred twenty billion, four hundred forty-two million, two hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 167 501 727 2181 121409 330679 364227 992037 55223393 165670179 240403633 721210899 40147406711 120442220133