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334312204431209 is a prime number
BaseRepresentation
bin100110000000011100010000…
…0001100000110111101101001
31121211200221020100001102021012
41030000320200030012331221
5322304332343313244314
63143004523445553305
7130263155036103134
oct11400704014067551
91554627210042235
10334312204431209
119758201199a224
12315b3b40a15835
1311470675a7c104
145c7ab2309921b
15289b36345493e
hex1300e20306f69

334312204431209 has 2 divisors, whose sum is σ = 334312204431210. Its totient is φ = 334312204431208.

The previous prime is 334312204431193. The next prime is 334312204431211. The reversal of 334312204431209 is 902134402213433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 253804025587984 + 80508178843225 = 15931228^2 + 8972635^2 .

It is a cyclic number.

It is not a de Polignac number, because 334312204431209 - 24 = 334312204431193 is a prime.

It is a super-2 number, since 2×3343122044312092 (a number of 30 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 334312204431211, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (334312204434209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167156102215604 + 167156102215605.

It is an arithmetic number, because the mean of its divisors is an integer number (167156102215605).

Almost surely, 2334312204431209 is an apocalyptic number.

It is an amenable number.

334312204431209 is a deficient number, since it is larger than the sum of its proper divisors (1).

334312204431209 is an equidigital number, since it uses as much as digits as its factorization.

334312204431209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 373248, while the sum is 41.

The spelling of 334312204431209 in words is "three hundred thirty-four trillion, three hundred twelve billion, two hundred four million, four hundred thirty-one thousand, two hundred nine".