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120055221 = 32111393283
BaseRepresentation
bin1110010011111…
…10010110110101
322100220102210200
413021332112311
5221213231341
615525111113
72655311136
oct711762665
9270812720
10120055221
116184a2a0
1234258499
131bb460c0
1411d31c8d
15a816db6
hex727e5b5

120055221 has 24 divisors (see below), whose sum is σ = 203732256. Its totient is φ = 67163040.

The previous prime is 120055217. The next prime is 120055261. The reversal of 120055221 is 122550021.

It is not a de Polignac number, because 120055221 - 22 = 120055217 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120055194 and 120055203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120055261) 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 23 ways as a sum of consecutive naturals, for example, 45355 + ... + 47928.

It is an arithmetic number, because the mean of its divisors is an integer number (8488844).

Almost surely, 2120055221 is an apocalyptic number.

120055221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120055221 is a deficient number, since it is larger than the sum of its proper divisors (83677035).

120055221 is a wasteful number, since it uses less digits than its factorization.

120055221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93313 (or 93310 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 120055221 is about 10956.9713424833. The cubic root of 120055221 is about 493.3180625396.

The spelling of 120055221 in words is "one hundred twenty million, fifty-five thousand, two hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 93283 279849 839547 1026113 1212679 3078339 3638037 9235017 10914111 13339469 40018407 120055221