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10033303121209 is a prime number
BaseRepresentation
bin1001001000000000111101…
…1101111110110100111001
31022112011201010221002200001
42102000033131332310321
52303341201044334314
633201122534313001
72053611414245164
oct222001735766471
938464633832601
1010033303121209
113219111053995
121160630ab8761
1357a1a09564c4
14269886126adb
15125ec8a39674
hex9200f77ed39

10033303121209 has 2 divisors, whose sum is σ = 10033303121210. Its totient is φ = 10033303121208.

The previous prime is 10033303121207. The next prime is 10033303121323. The reversal of 10033303121209 is 90212130333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8650863325225 + 1382439795984 = 2941235^2 + 1175772^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033303121209 - 21 = 10033303121207 is a prime.

It is a super-2 number, since 2×100333031212092 (a number of 27 digits) contains 22 as substring.

Together with 10033303121207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10033303121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016651560604 + 5016651560605.

It is an arithmetic number, because the mean of its divisors is an integer number (5016651560605).

Almost surely, 210033303121209 is an apocalyptic number.

It is an amenable number.

10033303121209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033303121209 is an equidigital number, since it uses as much as digits as its factorization.

10033303121209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 10033303121209 in words is "ten trillion, thirty-three billion, three hundred three million, one hundred twenty-one thousand, two hundred nine".