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344100233201 is a prime number
BaseRepresentation
bin1010000000111011111…
…10001101111111110001
31012220011221021222210112
411000131332031333301
521114204124430301
6422024422111105
733601060502654
oct5003576157761
91186157258715
10344100233201
11122a2867a21a
125683257b495
13265aa4c855a
14129240b589b
158e3e1199bb
hex501df8dff1

344100233201 has 2 divisors, whose sum is σ = 344100233202. Its totient is φ = 344100233200.

The previous prime is 344100233177. The next prime is 344100233203. The reversal of 344100233201 is 102332001443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 216433370176 + 127666863025 = 465224^2 + 357305^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344100233201 is a prime.

It is a Sophie Germain prime.

Together with 344100233203, 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 (344100233203) 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, 172050116600 + 172050116601.

It is an arithmetic number, because the mean of its divisors is an integer number (172050116601).

Almost surely, 2344100233201 is an apocalyptic number.

It is an amenable number.

344100233201 is a deficient number, since it is larger than the sum of its proper divisors (1).

344100233201 is an equidigital number, since it uses as much as digits as its factorization.

344100233201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 344100233201 its reverse (102332001443), we get a palindrome (446432234644).

The spelling of 344100233201 in words is "three hundred forty-four billion, one hundred million, two hundred thirty-three thousand, two hundred one".