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133233300017 is a prime number
BaseRepresentation
bin111110000010101010…
…0101101001000110001
3110201220020221220102022
41330011110231020301
54140330211100032
6141112340001225
712424434236006
oct1740524551061
9421806856368
10133233300017
115155a7a7304
12219a3690215
13c743a023cc
14663ca818ad
1536ebb3d512
hex1f0552d231

133233300017 has 2 divisors, whose sum is σ = 133233300018. Its totient is φ = 133233300016.

The previous prime is 133233300007. The next prime is 133233300023. The reversal of 133233300017 is 710003332331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70333161616 + 62900138401 = 265204^2 + 250799^2 .

It is a cyclic number.

It is not a de Polignac number, because 133233300017 - 210 = 133233298993 is a prime.

It is a super-2 number, since 2×1332333000172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133233300007) 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, 66616650008 + 66616650009.

It is an arithmetic number, because the mean of its divisors is an integer number (66616650009).

Almost surely, 2133233300017 is an apocalyptic number.

It is an amenable number.

133233300017 is a deficient number, since it is larger than the sum of its proper divisors (1).

133233300017 is an equidigital number, since it uses as much as digits as its factorization.

133233300017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 26.

Adding to 133233300017 its reverse (710003332331), we get a palindrome (843236632348).

The spelling of 133233300017 in words is "one hundred thirty-three billion, two hundred thirty-three million, three hundred thousand, seventeen".