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20330434431 = 33752979053
BaseRepresentation
bin10010111011110010…
…011100111101111111
31221110212022002002000
4102323302130331333
5313114042400211
613201211433343
71316543561406
oct227362347577
957425262060
1020330434431
11869300032a
123b34755853
131bbcca0378
14dac13c63d
157dec8c656
hex4bbc9cf7f

20330434431 has 8 divisors (see below), whose sum is σ = 30119162160. Its totient is φ = 13553622936.

The previous prime is 20330434417. The next prime is 20330434433. The reversal of 20330434431 is 13443403302.

It is not a de Polignac number, because 20330434431 - 27 = 20330434303 is a prime.

It is a super-3 number, since 3×203304344313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 752979053 = 20330434431 / (2 + 0 + 3 + 3 + 0 + 4 + 3 + 4 + 4 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 20330434395 and 20330434404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330434433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376489500 + ... + 376489553.

It is an arithmetic number, because the mean of its divisors is an integer number (3764895270).

Almost surely, 220330434431 is an apocalyptic number.

20330434431 is a deficient number, since it is larger than the sum of its proper divisors (9788727729).

20330434431 is an equidigital number, since it uses as much as digits as its factorization.

20330434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752979062 (or 752979056 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20330434431 its reverse (13443403302), we get a palindrome (33773837733).

The spelling of 20330434431 in words is "twenty billion, three hundred thirty million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 752979053 2258937159 6776811477 20330434431