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66202133 is a prime number
BaseRepresentation
bin1111110010001…
…0101000010101
311121120102020212
43330202220111
5113421432013
610322535205
71432465064
oct374425025
9147512225
1066202133
1134407708
121a207505
131093bc7a
148b141db
155c2a6a8
hex3f22a15

66202133 has 2 divisors, whose sum is σ = 66202134. Its totient is φ = 66202132.

The previous prime is 66202127. The next prime is 66202153. The reversal of 66202133 is 33120266.

66202133 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., 40729924 + 25472209 = 6382^2 + 5047^2 .

It is a cyclic number.

It is not a de Polignac number, because 66202133 - 212 = 66198037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66202099 and 66202108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66202153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33101066 + 33101067.

It is an arithmetic number, because the mean of its divisors is an integer number (33101067).

Almost surely, 266202133 is an apocalyptic number.

It is an amenable number.

66202133 is a deficient number, since it is larger than the sum of its proper divisors (1).

66202133 is an equidigital number, since it uses as much as digits as its factorization.

66202133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 66202133 is about 8136.4693202887. The cubic root of 66202133 is about 404.5361411865.

Adding to 66202133 its reverse (33120266), we get a palindrome (99322399).

The spelling of 66202133 in words is "sixty-six million, two hundred two thousand, one hundred thirty-three".