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111314242305 = 345739264283
BaseRepresentation
bin110011110101011011…
…0001000101100000001
3101122022200101101220000
41213222312020230001
53310432421223210
6123045334310213
711020320306450
oct1475266105401
9348280341800
10111314242305
1143231a95882
12196a6ab8369
13a65c880686
14555d970b97
152d6769cac0
hex19ead88b01

111314242305 has 40 divisors (see below), whose sum is σ = 228046961472. Its totient is φ = 50886509472.

The previous prime is 111314242301. The next prime is 111314242313. The reversal of 111314242305 is 503242413111.

111314242305 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 1 + 424 + 230 + 5 = 666.

It is not a de Polignac number, because 111314242305 - 22 = 111314242301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111314242301) 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 39 ways as a sum of consecutive naturals, for example, 19629307 + ... + 19634976.

Almost surely, 2111314242305 is an apocalyptic number.

111314242305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111314242305 is an abundant number, since it is smaller than the sum of its proper divisors (116732719167).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111314242305 is an equidigital number, since it uses as much as digits as its factorization.

111314242305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39264307 (or 39264298 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 111314242305 its reverse (503242413111), we get a palindrome (614556655416).

The spelling of 111314242305 in words is "one hundred eleven billion, three hundred fourteen million, two hundred forty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 39264283 117792849 196321415 274849981 353378547 588964245 824549943 1060135641 1374249905 1766892735 2473649829 3180406923 4122749715 5300678205 7420949487 12368249145 15902034615 22262848461 37104747435 111314242305