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20322320013 = 33172316711527
BaseRepresentation
bin10010111011010011…
…011111111010001101
31221110022000211012000
4102323103133322031
5313110003220023
613200321502513
71316414604252
oct227323377215
957408024160
1020322320013
1186894688a6
123b31aa1a39
131bbb3bbb38
14dab029429
157de1d8243
hex4bb4dfe8d

20322320013 has 64 divisors (see below), whose sum is σ = 33466245120. Its totient is φ = 12122770176.

The previous prime is 20322319993. The next prime is 20322320017. The reversal of 20322320013 is 31002322302.

It is a happy number.

20322320013 is a `hidden beast` number, since 20 + 322 + 320 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 20322320013 - 212 = 20322315917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20322320017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1757256 + ... + 1768782.

It is an arithmetic number, because the mean of its divisors is an integer number (522910080).

Almost surely, 220322320013 is an apocalyptic number.

20322320013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20322320013 is a deficient number, since it is larger than the sum of its proper divisors (13143925107).

20322320013 is a wasteful number, since it uses less digits than its factorization.

20322320013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20322320013 its reverse (31002322302), we get a palindrome (51324642315).

The spelling of 20322320013 in words is "twenty billion, three hundred twenty-two million, three hundred twenty thousand, thirteen".

Divisors: 1 3 9 17 23 27 51 69 153 167 207 391 459 501 621 1173 1503 2839 3519 3841 4509 8517 10557 11523 11527 25551 34569 34581 65297 76653 103707 103743 195891 195959 265121 311229 587673 587877 795363 1763019 1763631 1925009 2386089 4507057 5290893 5775027 7158267 13521171 17325081 32725153 40563513 44275207 51975243 98175459 121690539 132825621 294526377 398476863 752678519 883579131 1195430589 2258035557 6774106671 20322320013