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13300022033 is a prime number
BaseRepresentation
bin11000110001011111…
…00011101100010001
31021022220100010022122
430120233203230101
5204214301201113
610035425344025
7650405215304
oct143057435421
937286303278
1013300022033
115705574451
1226b2198015
13133c5a982c
14902546b3b
1552c967408
hex318be3b11

13300022033 has 2 divisors, whose sum is σ = 13300022034. Its totient is φ = 13300022032.

The previous prime is 13300022003. The next prime is 13300022051. The reversal of 13300022033 is 33022000331.

13300022033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13177432849 + 122589184 = 114793^2 + 11072^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300022033 - 212 = 13300017937 is a prime.

It is not a weakly prime, because it can be changed into another prime (13300022003) 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, 6650011016 + 6650011017.

It is an arithmetic number, because the mean of its divisors is an integer number (6650011017).

Almost surely, 213300022033 is an apocalyptic number.

It is an amenable number.

13300022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300022033 is an equidigital number, since it uses as much as digits as its factorization.

13300022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 13300022033 its reverse (33022000331), we get a palindrome (46322022364).

The spelling of 13300022033 in words is "thirteen billion, three hundred million, twenty-two thousand, thirty-three".