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120053201 = 172415409
BaseRepresentation
bin1110010011111…
…01110111010001
322100220100000212
413021331313101
5221213200301
615525053505
72655302222
oct711756721
9270810025
10120053201
1161848824
1234257295
131bb451c8
1411d31249
15a8164bb
hex727ddd1

120053201 has 6 divisors (see below), whose sum is σ = 127530870. Its totient is φ = 112990976.

The previous prime is 120053189. The next prime is 120053203. The reversal of 120053201 is 102350021.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 68227600 + 51825601 = 8260^2 + 7199^2 .

It is not a de Polignac number, because 120053201 - 214 = 120036817 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120053203) 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 5 ways as a sum of consecutive naturals, for example, 207416 + ... + 207993.

It is an arithmetic number, because the mean of its divisors is an integer number (21255145).

Almost surely, 2120053201 is an apocalyptic number.

It is an amenable number.

120053201 is a deficient number, since it is larger than the sum of its proper divisors (7477669).

120053201 is an equidigital number, since it uses as much as digits as its factorization.

120053201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415443 (or 415426 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 120053201 is about 10956.8791633384. The cubic root of 120053201 is about 493.3152957349.

The spelling of 120053201 in words is "one hundred twenty million, fifty-three thousand, two hundred one".

Divisors: 1 17 289 415409 7061953 120053201