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20330322313 = 722993715269
BaseRepresentation
bin10010111011110010…
…000001100110001001
31221110212002101021111
4102323302001212021
5313114030303223
613201205210321
71316542613500
oct227362014611
957425071244
1020330322313
118692a34074
123b347009a1
131bbcc61322
14dac10d837
157dec6930d
hex4bbc81989

20330322313 has 24 divisors (see below), whose sum is σ = 24492774600. Its totient is φ = 16806037248.

The previous prime is 20330322301. The next prime is 20330322323. The reversal of 20330322313 is 31322303302.

It can be written as a sum of positive squares in 4 ways, for example, as 219395344 + 20110926969 = 14812^2 + 141813^2 .

It is not a de Polignac number, because 20330322313 - 229 = 19793451401 is a prime.

It is a super-3 number, since 3×203303223133 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20330322323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1323843 + ... + 1339111.

It is an arithmetic number, because the mean of its divisors is an integer number (1020532275).

Almost surely, 220330322313 is an apocalyptic number.

It is an amenable number.

20330322313 is a deficient number, since it is larger than the sum of its proper divisors (4162452287).

20330322313 is a wasteful number, since it uses less digits than its factorization.

20330322313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16249 (or 16242 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 20330322313 its reverse (31322303302), we get a palindrome (51652625615).

The spelling of 20330322313 in words is "twenty billion, three hundred thirty million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 7 29 49 203 937 1421 6559 15269 27173 45913 106883 190211 442801 748181 1331477 3099607 14307053 21697249 100149371 414904537 701045597 2904331759 20330322313