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120660114141 = 32721716094453
BaseRepresentation
bin111000001011111100…
…1110011101011011101
3102112110000021212212100
41300113321303223131
53434102442123031
6131232552555313
711501033022300
oct1602771635335
9375400255770
10120660114141
11471985416a6
121b4749b2b39
13b4bbb9cb58
145ba8c9ab37
153212de9de6
hex1c17e73add

120660114141 has 36 divisors (see below), whose sum is σ = 214667827452. Its totient is φ = 64892830464.

The previous prime is 120660114119. The next prime is 120660114149. The reversal of 120660114141 is 141411066021.

120660114141 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 601 + 14 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89550562500 + 31109551641 = 299250^2 + 176379^2 .

It is not a de Polignac number, because 120660114141 - 27 = 120660114013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120660114149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8039730 + ... + 8054723.

It is an arithmetic number, because the mean of its divisors is an integer number (5962995207).

Almost surely, 2120660114141 is an apocalyptic number.

It is an amenable number.

120660114141 is a deficient number, since it is larger than the sum of its proper divisors (94007713311).

120660114141 is a wasteful number, since it uses less digits than its factorization.

120660114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16094490 (or 16094480 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 120660114141 in words is "one hundred twenty billion, six hundred sixty million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 16094453 48283359 112661171 144850077 273605701 337983513 788628197 820817103 1013950539 1915239907 2365884591 2462451309 5745719721 7097653773 13406679349 17237159163 40220038047 120660114141