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111141359 = 7217235801
BaseRepresentation
bin1101001111111…
…10000111101111
321202010120021122
412213332013233
5211423010414
615010051155
72516454200
oct647760757
9252116248
10111141359
115781116a
1231279abb
131a044a24
1410a915a7
159b55b8e
hex69fe1ef

111141359 has 24 divisors (see below), whose sum is σ = 142868448. Its totient is φ = 85747200.

The previous prime is 111141353. The next prime is 111141379. The reversal of 111141359 is 953141111.

111141359 = T92 + T93 + ... + T873.

It is not a de Polignac number, because 111141359 - 24 = 111141343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111141353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16259 + ... + 22059.

It is an arithmetic number, because the mean of its divisors is an integer number (5952852).

Almost surely, 2111141359 is an apocalyptic number.

111141359 is a deficient number, since it is larger than the sum of its proper divisors (31727089).

111141359 is a wasteful number, since it uses less digits than its factorization.

111141359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5848 counting only the distinct ones).

The product of its digits is 540, while the sum is 26.

The square root of 111141359 is about 10542.3602196093. The cubic root of 111141359 is about 480.7934778158.

The spelling of 111141359 in words is "one hundred eleven million, one hundred forty-one thousand, three hundred fifty-nine".

Divisors: 1 7 17 23 49 119 161 391 833 1127 2737 5801 19159 40607 98617 133423 284249 690319 933961 2268191 4832233 6537727 15877337 111141359