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120253041 = 3241325889
BaseRepresentation
bin1110010101011…
…10101001110001
322101021111011100
413022232221301
5221241044131
615533235013
72660063646
oct712565161
9271244140
10120253041
1161974987
1234332a69
131bbb515c
1411d83dcd
15a8557e6
hex72aea71

120253041 has 12 divisors (see below), whose sum is σ = 177935940. Its totient is φ = 78213120.

The previous prime is 120253013. The next prime is 120253043. The reversal of 120253041 is 140352021.

It can be written as a sum of positive squares in 2 ways, for example, as 2313441 + 117939600 = 1521^2 + 10860^2 .

It is not a de Polignac number, because 120253041 - 29 = 120252529 is a prime.

It is a super-3 number, since 3×1202530413 (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120253043) 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, 162576 + ... + 163313.

It is an arithmetic number, because the mean of its divisors is an integer number (14827995).

Almost surely, 2120253041 is an apocalyptic number.

It is an amenable number.

120253041 is a deficient number, since it is larger than the sum of its proper divisors (57682899).

120253041 is a wasteful number, since it uses less digits than its factorization.

120253041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325936 (or 325933 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120253041 is about 10965.9947565189. The cubic root of 120253041 is about 493.5888674445.

The spelling of 120253041 in words is "one hundred twenty million, two hundred fifty-three thousand, forty-one".

Divisors: 1 3 9 41 123 369 325889 977667 2933001 13361449 40084347 120253041