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13030321833 = 3210973318121
BaseRepresentation
bin11000010001010101…
…01110111010101001
31020122002211221012100
430020222232322221
5203141230244313
65552553004013
7640621623324
oct141052567251
936562757170
1013030321833
115587305721
1226379b3609
1312c875a309
148b87bd7bb
15513e41173
hex308aaeea9

13030321833 has 24 divisors (see below), whose sum is σ = 19021213640. Its totient is φ = 8594968320.

The previous prime is 13030321831. The next prime is 13030321849. The reversal of 13030321833 is 33812303031.

13030321833 is a `hidden beast` number, since 1 + 303 + 0 + 321 + 8 + 33 = 666.

13030321833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5860974249 + 7169347584 = 76557^2 + 84672^2 .

It is not a de Polignac number, because 13030321833 - 21 = 13030321831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13030321797 and 13030321806.

It is not an unprimeable number, because it can be changed into a prime (13030321831) 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 23 ways as a sum of consecutive naturals, for example, 710013 + ... + 728133.

Almost surely, 213030321833 is an apocalyptic number.

It is an amenable number.

13030321833 is a deficient number, since it is larger than the sum of its proper divisors (5990891807).

13030321833 is a wasteful number, since it uses less digits than its factorization.

13030321833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18969 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13030321833 its reverse (33812303031), we get a palindrome (46842624864).

The spelling of 13030321833 in words is "thirteen billion, thirty million, three hundred twenty-one thousand, eight hundred thirty-three".

Divisors: 1 3 9 109 327 733 981 2199 6597 18121 54363 79897 163089 239691 719073 1975189 5925567 13282693 17776701 39848079 119544237 1447813537 4343440611 13030321833