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234334233313 is a prime number
BaseRepresentation
bin1101101000111101101…
…0001010001011100001
3211101212011012110020021
43122033122022023201
512314404030431223
6255352431513441
722634010055405
oct3321732121341
9741764173207
10234334233313
1190420624934
12394ba088881
131913662b56b
14b4b0005105
15616784565d
hex368f68a2e1

234334233313 has 2 divisors, whose sum is σ = 234334233314. Its totient is φ = 234334233312.

The previous prime is 234334233293. The next prime is 234334233317. The reversal of 234334233313 is 313332433432.

234334233313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180551057569 + 53783175744 = 424913^2 + 231912^2 .

It is a cyclic number.

It is not a de Polignac number, because 234334233313 - 213 = 234334225121 is a prime.

It is not a weakly prime, because it can be changed into another prime (234334233317) 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, 117167116656 + 117167116657.

It is an arithmetic number, because the mean of its divisors is an integer number (117167116657).

Almost surely, 2234334233313 is an apocalyptic number.

It is an amenable number.

234334233313 is a deficient number, since it is larger than the sum of its proper divisors (1).

234334233313 is an equidigital number, since it uses as much as digits as its factorization.

234334233313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 139968, while the sum is 34.

Adding to 234334233313 its reverse (313332433432), we get a palindrome (547666666745).

The spelling of 234334233313 in words is "two hundred thirty-four billion, three hundred thirty-four million, two hundred thirty-three thousand, three hundred thirteen".