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120144321 = 32111771387
BaseRepresentation
bin1110010100101…
…00000111000001
322101001222000200
413022110013001
5221224104241
615531035413
72656131663
oct712240701
9271058020
10120144321
1161900230
123429bb69
131bb7781b
1411d56533
15a8334b6
hex72941c1

120144321 has 24 divisors (see below), whose sum is σ = 200457504. Its totient is φ = 68530560.

The previous prime is 120144317. The next prime is 120144329. The reversal of 120144321 is 123441021.

120144321 is a `hidden beast` number, since 1 + 201 + 443 + 21 = 666.

It is not a de Polignac number, because 120144321 - 22 = 120144317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120144294 and 120144303.

It is not an unprimeable number, because it can be changed into a prime (120144329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34011 + ... + 37376.

It is an arithmetic number, because the mean of its divisors is an integer number (8352396).

Almost surely, 2120144321 is an apocalyptic number.

120144321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120144321 is a deficient number, since it is larger than the sum of its proper divisors (80313183).

120144321 is a wasteful number, since it uses less digits than its factorization.

120144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71421 (or 71418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120144321 is about 10961.0364929600. The cubic root of 120144321 is about 493.4400724218.

Adding to 120144321 its reverse (123441021), we get a palindrome (243585342).

It can be divided in two parts, 120 and 144321, that added together give a palindrome (144441).

The spelling of 120144321 in words is "one hundred twenty million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 71387 214161 642483 785257 1213579 2355771 3640737 7067313 10922211 13349369 40048107 120144321