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12314222145 = 3251914402599
BaseRepresentation
bin10110111011111110…
…00001111001000001
31011210012101022002200
423131333001321001
5200204420102040
65353532303413
7614105106201
oct133577017101
934705338080
1012314222145
11524a06a3a5
122478011b69
1312132a1ba4
1484b654401
154c113d630
hex2ddfc1e41

12314222145 has 24 divisors (see below), whose sum is σ = 22468056000. Its totient is φ = 6221922336.

The previous prime is 12314222131. The next prime is 12314222147. The reversal of 12314222145 is 54122241321.

12314222145 is a `hidden beast` number, since 1 + 23 + 1 + 422 + 214 + 5 = 666.

It is not a de Polignac number, because 12314222145 - 25 = 12314222113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12314222147) 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, 7200445 + ... + 7202154.

It is an arithmetic number, because the mean of its divisors is an integer number (936169000).

Almost surely, 212314222145 is an apocalyptic number.

12314222145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12314222145 is a deficient number, since it is larger than the sum of its proper divisors (10153833855).

12314222145 is a wasteful number, since it uses less digits than its factorization.

12314222145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14402629 (or 14402626 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 12314222145 its reverse (54122241321), we get a palindrome (66436463466).

The spelling of 12314222145 in words is "twelve billion, three hundred fourteen million, two hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 14402599 43207797 72012995 129623391 216038985 273649381 648116955 820948143 1368246905 2462844429 4104740715 12314222145