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334200335009 is a prime number
BaseRepresentation
bin1001101110011111110…
…01000110101010100001
31011221121222220001112112
410313033321012222201
520433420241210014
6413310213005105
733100536656012
oct4671771065241
91157558801475
10334200335009
11119808416182
125492b023795
1325690489028
141226536d009
158a5ee3173e
hex4dcfe46aa1

334200335009 has 2 divisors, whose sum is σ = 334200335010. Its totient is φ = 334200335008.

The previous prime is 334200334991. The next prime is 334200335011. The reversal of 334200335009 is 900533002433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218997792784 + 115202542225 = 467972^2 + 339415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-334200335009 is a prime.

It is a super-2 number, since 2×3342003350092 (a number of 24 digits) contains 22 as substring.

Together with 334200335011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (334200332009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167100167504 + 167100167505.

It is an arithmetic number, because the mean of its divisors is an integer number (167100167505).

Almost surely, 2334200335009 is an apocalyptic number.

It is an amenable number.

334200335009 is a deficient number, since it is larger than the sum of its proper divisors (1).

334200335009 is an equidigital number, since it uses as much as digits as its factorization.

334200335009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 32.

The spelling of 334200335009 in words is "three hundred thirty-four billion, two hundred million, three hundred thirty-five thousand, nine".