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114204203204305 = 573214928766041
BaseRepresentation
bin11001111101111000111100…
…111101101011111011010001
3112222100211000021121001220011
4121331320330331223323101
5104432110202010014210
61042520404153114521
733024660422234644
oct3175707475537321
9488324007531804
10114204203204305
1133430804458625
12109856586b8a41
134b955441473a6
14202b72768da5b
15d30aa7b55d8a
hex67de3cf6bed1

114204203204305 has 24 divisors (see below), whose sum is σ = 139880632433400. Its totient is φ = 89507029294080.

The previous prime is 114204203204303. The next prime is 114204203204389. The reversal of 114204203204305 is 503402302402411.

It can be written as a sum of positive squares in 12 ways, for example, as 59910634118416 + 54293569085889 = 7740196^2 + 7368417^2 .

It is not a de Polignac number, because 114204203204305 - 21 = 114204203204303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114204203204303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10412916 + ... + 18353125.

It is an arithmetic number, because the mean of its divisors is an integer number (5828359684725).

Almost surely, 2114204203204305 is an apocalyptic number.

It is an amenable number.

114204203204305 is a deficient number, since it is larger than the sum of its proper divisors (25676429229095).

114204203204305 is an equidigital number, since it uses as much as digits as its factorization.

114204203204305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28766341 (or 28766268 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 114204203204305 its reverse (503402302402411), we get a palindrome (617606505606716).

The spelling of 114204203204305 in words is "one hundred fourteen trillion, two hundred four billion, two hundred three million, two hundred four thousand, three hundred five".

Divisors: 1 5 73 149 365 745 5329 10877 26645 54385 794021 3970105 28766041 143830205 2099920993 4286140109 10499604965 21430700545 153294232489 312888227957 766471162445 1564441139785 22840840640861 114204203204305