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20012114313 = 338389269373
BaseRepresentation
bin10010101000110100…
…001010000110001001
31220122200022201222000
4102220310022012021
5311441100124223
613105441021213
71305630110412
oct225064120611
956580281860
1020012114313
11853a353754
123a66024809
131b6c059979
14d7bb5a809
157c1d60543
hex4a8d0a189

20012114313 has 64 divisors (see below), whose sum is σ = 30536352000. Its totient is φ = 12949314048.

The previous prime is 20012114257. The next prime is 20012114351. The reversal of 20012114313 is 31341121002.

20012114313 is a `hidden beast` number, since 20 + 0 + 1 + 211 + 431 + 3 = 666.

It is not a de Polignac number, because 20012114313 - 217 = 20011983241 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20012114513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53651595 + ... + 53651967.

It is an arithmetic number, because the mean of its divisors is an integer number (477130500).

Almost surely, 220012114313 is an apocalyptic number.

It is an amenable number.

20012114313 is a deficient number, since it is larger than the sum of its proper divisors (10524237687).

20012114313 is a wasteful number, since it uses less digits than its factorization.

20012114313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20012114313 its reverse (31341121002), we get a palindrome (51353235315).

The spelling of 20012114313 in words is "twenty billion, twelve million, one hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 27 83 89 249 267 269 373 747 801 807 1119 2241 2403 2421 3357 7263 7387 10071 22161 22327 23941 30959 33197 66483 66981 71823 92877 99591 100337 199449 200943 215469 278631 298773 301011 602829 646407 835893 896319 903033 1987103 2709099 2755351 5961309 8266053 8327971 8929993 17883927 24798159 24983913 26789979 53651781 74394477 74951739 80369937 224855217 241109811 741189419 2223568257 6670704771 20012114313