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120324213 = 3224415477
BaseRepresentation
bin1110010110000…
…00000001110101
322101102002210100
413023000001311
5221300333323
615534544313
72660511312
oct713000165
9271362710
10120324213
1161a133a9
1234368099
131bc0b679
1411da1d09
15a86b943
hex72c0075

120324213 has 12 divisors (see below), whose sum is σ = 173904588. Its totient is φ = 80168640.

The previous prime is 120324209. The next prime is 120324233. The reversal of 120324213 is 312423021.

It can be written as a sum of positive squares in 2 ways, for example, as 77316849 + 43007364 = 8793^2 + 6558^2 .

It is not a de Polignac number, because 120324213 - 22 = 120324209 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120324203) 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 11 ways as a sum of consecutive naturals, for example, 19231 + ... + 24707.

It is an arithmetic number, because the mean of its divisors is an integer number (14492049).

Almost surely, 2120324213 is an apocalyptic number.

It is an amenable number.

120324213 is a deficient number, since it is larger than the sum of its proper divisors (53580375).

120324213 is a wasteful number, since it uses less digits than its factorization.

120324213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120324213 is about 10969.2393993385. The cubic root of 120324213 is about 493.6862254221.

Adding to 120324213 its reverse (312423021), we get a palindrome (432747234).

The spelling of 120324213 in words is "one hundred twenty million, three hundred twenty-four thousand, two hundred thirteen".

Divisors: 1 3 9 2441 5477 7323 16431 21969 49293 13369357 40108071 120324213