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331133003300189 is a prime number
BaseRepresentation
bin100101101001010011110100…
…1000010001111110101011101
31121102110000011100020110210102
41023102213221002033311131
5321400240342321101224
63132132222432150445
7126514366340262026
oct11322475102176535
91542400140213712
10331133003300189
119656679981a472
123117b964998425
131129c928c82b0c
145baaccc519c4d
1528437e17094ae
hex12d29e908fd5d

331133003300189 has 2 divisors, whose sum is σ = 331133003300190. Its totient is φ = 331133003300188.

The previous prime is 331133003300173. The next prime is 331133003300213. The reversal of 331133003300189 is 981003300331133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168986142284089 + 162146861016100 = 12999467^2 + 12733690^2 .

It is a cyclic number.

It is not a de Polignac number, because 331133003300189 - 24 = 331133003300173 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331133093300189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566501650094 + 165566501650095.

It is an arithmetic number, because the mean of its divisors is an integer number (165566501650095).

Almost surely, 2331133003300189 is an apocalyptic number.

It is an amenable number.

331133003300189 is a deficient number, since it is larger than the sum of its proper divisors (1).

331133003300189 is an equidigital number, since it uses as much as digits as its factorization.

331133003300189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 38.

The spelling of 331133003300189 in words is "three hundred thirty-one trillion, one hundred thirty-three billion, three million, three hundred thousand, one hundred eighty-nine".