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120544101 = 3253252713
BaseRepresentation
bin1110010111101…
…01101101100101
322101211021102100
413023311231211
5221324402401
615543402313
72662415346
oct713655545
9271737370
10120544101
1162053627
1234453399
131bc87792
141201c0cd
15a8b1b86
hex72f5b65

120544101 has 12 divisors (see below), whose sum is σ = 177405228. Its totient is φ = 78846144.

The previous prime is 120544091. The next prime is 120544121. The reversal of 120544101 is 101445021.

120544101 is a `hidden beast` number, since 1 + 20 + 544 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78747876 + 41796225 = 8874^2 + 6465^2 .

It is not a de Polignac number, because 120544101 - 25 = 120544069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120544121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125880 + ... + 126833.

It is an arithmetic number, because the mean of its divisors is an integer number (14783769).

Almost surely, 2120544101 is an apocalyptic number.

It is an amenable number.

120544101 is a deficient number, since it is larger than the sum of its proper divisors (56861127).

120544101 is a wasteful number, since it uses less digits than its factorization.

120544101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252772 (or 252769 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120544101 is about 10979.2577617979. The cubic root of 120544101 is about 493.9867734552.

Adding to 120544101 its reverse (101445021), we get a palindrome (221989122).

The spelling of 120544101 in words is "one hundred twenty million, five hundred forty-four thousand, one hundred one".

Divisors: 1 3 9 53 159 477 252713 758139 2274417 13393789 40181367 120544101