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331332313201 is a prime number
BaseRepresentation
bin1001101001001001111…
…00011110000001110001
31011200020010012110020121
410310210330132001301
520412032033010301
6412113441210241
732636503123261
oct4644474360161
91150203173217
10331332313201
111185764a8a1a
125426a630981
13253242337c6
14120724bd7a1
15894325c3a1
hex4d24f1e071

331332313201 has 2 divisors, whose sum is σ = 331332313202. Its totient is φ = 331332313200.

The previous prime is 331332313199. The next prime is 331332313259. The reversal of 331332313201 is 102313233133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 255883210801 + 75449102400 = 505849^2 + 274680^2 .

It is a cyclic number.

It is not a de Polignac number, because 331332313201 - 21 = 331332313199 is a prime.

It is a super-2 number, since 2×3313323132012 (a number of 24 digits) contains 22 as substring.

Together with 331332313199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (331332310201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165666156600 + 165666156601.

It is an arithmetic number, because the mean of its divisors is an integer number (165666156601).

Almost surely, 2331332313201 is an apocalyptic number.

It is an amenable number.

331332313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

331332313201 is an equidigital number, since it uses as much as digits as its factorization.

331332313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 331332313201 its reverse (102313233133), we get a palindrome (433645546334).

The spelling of 331332313201 in words is "three hundred thirty-one billion, three hundred thirty-two million, three hundred thirteen thousand, two hundred one".