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331221230222009 is a prime number
BaseRepresentation
bin100101101001111100111001…
…1110001001111101010111001
31121102202102220000202110220112
41023103321303301033222321
5321403212034414101014
63132240533233234105
7126523641566606321
oct11323716361175271
91542672800673815
10331221230222009
11965a01535a4696
1231194a87a02935
13112a804964cbba
145bb129bb4c281
152845c5709973e
hex12d3e73c4fab9

331221230222009 has 2 divisors, whose sum is σ = 331221230222010. Its totient is φ = 331221230222008.

The previous prime is 331221230221991. The next prime is 331221230222123. The reversal of 331221230222009 is 900222032122133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299132936611600 + 32088293610409 = 17295460^2 + 5664653^2 .

It is a cyclic number.

It is not a de Polignac number, because 331221230222009 - 220 = 331221229173433 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331221230224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610615111004 + 165610615111005.

It is an arithmetic number, because the mean of its divisors is an integer number (165610615111005).

Almost surely, 2331221230222009 is an apocalyptic number.

It is an amenable number.

331221230222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221230222009 is an equidigital number, since it uses as much as digits as its factorization.

331221230222009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 331221230222009 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, two hundred thirty million, two hundred twenty-two thousand, nine".