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20332103013 = 323895807513
BaseRepresentation
bin10010111011111000…
…110100010101100101
31221110222102211221100
4102323320310111211
5313120004244023
613201311310313
71316564011155
oct227370642545
957428384840
1020332103013
118693a3aa22
123b3521b399
131bc04359b1
14dac454765
157deebbc43
hex4bbe34565

20332103013 has 12 divisors (see below), whose sum is σ = 29444095980. Its totient is φ = 13519887936.

The previous prime is 20332103009. The next prime is 20332103023. The reversal of 20332103013 is 31030123302.

20332103013 is a `hidden beast` number, since 20 + 332 + 10 + 301 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12814692804 + 7517410209 = 113202^2 + 86703^2 .

It is not a de Polignac number, because 20332103013 - 22 = 20332103009 is a prime.

It is a super-3 number, since 3×203321030133 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332103023) 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 11 ways as a sum of consecutive naturals, for example, 2900256 + ... + 2907257.

It is an arithmetic number, because the mean of its divisors is an integer number (2453674665).

Almost surely, 220332103013 is an apocalyptic number.

It is an amenable number.

20332103013 is a deficient number, since it is larger than the sum of its proper divisors (9111992967).

20332103013 is a wasteful number, since it uses less digits than its factorization.

20332103013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5807908 (or 5807905 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20332103013 its reverse (31030123302), we get a palindrome (51362226315).

The spelling of 20332103013 in words is "twenty billion, three hundred thirty-two million, one hundred three thousand, thirteen".

Divisors: 1 3 9 389 1167 3501 5807513 17422539 52267617 2259122557 6777367671 20332103013