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13203023033 is a prime number
BaseRepresentation
bin11000100101111011…
…00010010010111001
31021002010211001201002
430102331202102321
5204014433214113
610022042334345
7645116562344
oct142275422271
937063731632
1013203023033
115665842692
1226857ba3b5
131325476c85
148d36d745b
155241a6c58
hex312f624b9

13203023033 has 2 divisors, whose sum is σ = 13203023034. Its totient is φ = 13203023032.

The previous prime is 13203023027. The next prime is 13203023087. The reversal of 13203023033 is 33032030231.

13203023033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8550146089 + 4652876944 = 92467^2 + 68212^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13203023033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13203022996 and 13203023014.

It is not a weakly prime, because it can be changed into another prime (13203023023) 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 as a sum of consecutive naturals, namely, 6601511516 + 6601511517.

It is an arithmetic number, because the mean of its divisors is an integer number (6601511517).

Almost surely, 213203023033 is an apocalyptic number.

It is an amenable number.

13203023033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13203023033 is an equidigital number, since it uses as much as digits as its factorization.

13203023033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 13203023033 its reverse (33032030231), we get a palindrome (46235053264).

The spelling of 13203023033 in words is "thirteen billion, two hundred three million, twenty-three thousand, thirty-three".