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20113303113 = 3215971399381
BaseRepresentation
bin10010101110110110…
…001010011001001001
31220220201201122220100
4102232312022121021
5312143001144423
613123453520013
71311266153451
oct225666123111
956821648810
1020113303113
118591487362
123a93aa3009
131b86cc85b7
14d8b37ad61
157cab9c343
hex4aed8a649

20113303113 has 12 divisors (see below), whose sum is σ = 29070761668. Its totient is φ = 13400462880.

The previous prime is 20113303103. The next prime is 20113303121. The reversal of 20113303113 is 31130331102.

It is a happy number.

20113303113 is a `hidden beast` number, since 20 + 1 + 1 + 330 + 311 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7648027209 + 12465275904 = 87453^2 + 111648^2 .

It is not a de Polignac number, because 20113303113 - 222 = 20109108809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20113303103) 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 11 ways as a sum of consecutive naturals, for example, 685318 + ... + 714063.

Almost surely, 220113303113 is an apocalyptic number.

It is an amenable number.

20113303113 is a deficient number, since it is larger than the sum of its proper divisors (8957458555).

20113303113 is a wasteful number, since it uses less digits than its factorization.

20113303113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400984 (or 1400981 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20113303113 its reverse (31130331102), we get a palindrome (51243634215).

It can be divided in two parts, 2011 and 3303113, that added together give a square (3305124 = 18182).

The spelling of 20113303113 in words is "twenty billion, one hundred thirteen million, three hundred three thousand, one hundred thirteen".

Divisors: 1 3 9 1597 4791 14373 1399381 4198143 12594429 2234811457 6704434371 20113303113