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120220641 = 3217377213
BaseRepresentation
bin1110010101001…
…10101111100001
322101012211201100
413022212233201
5221234030031
615532425013
72656600332
oct712465741
9271184640
10120220641
1161952602
1234318169
131bba3498
1411d76289
15a84ade6
hex72a6be1

120220641 has 12 divisors (see below), whose sum is σ = 174658068. Its totient is φ = 79682784.

The previous prime is 120220627. The next prime is 120220693. The reversal of 120220641 is 146022021.

120220641 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 20 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113870241 + 6350400 = 10671^2 + 2520^2 .

It is a de Polignac number, because none of the positive numbers 2k-120220641 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120220621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37050 + ... + 40163.

It is an arithmetic number, because the mean of its divisors is an integer number (14554839).

Almost surely, 2120220641 is an apocalyptic number.

It is an amenable number.

120220641 is a deficient number, since it is larger than the sum of its proper divisors (54437427).

120220641 is a wasteful number, since it uses less digits than its factorization.

120220641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77392 (or 77389 counting only the distinct ones).

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

The square root of 120220641 is about 10964.5173628391. The cubic root of 120220641 is about 493.5445339411.

Adding to 120220641 its reverse (146022021), we get a palindrome (266242662).

The spelling of 120220641 in words is "one hundred twenty million, two hundred twenty thousand, six hundred forty-one".

Divisors: 1 3 9 173 519 1557 77213 231639 694917 13357849 40073547 120220641