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331728816361 is a prime number
BaseRepresentation
bin1001101001111001001…
…01000000100011101001
31011201020202021220022211
410310330211000203221
520413340034110421
6412221043445121
732652356262205
oct4647445004351
91151222256284
10331728816361
1111875a2a5688
125435b3867a1
132538841c567
14120ad013b05
158967e7e9e1
hex4d3c9408e9

331728816361 has 2 divisors, whose sum is σ = 331728816362. Its totient is φ = 331728816360.

The previous prime is 331728816323. The next prime is 331728816383. The reversal of 331728816361 is 163618827133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331229025625 + 499790736 = 575525^2 + 22356^2 .

It is a cyclic number.

It is not a de Polignac number, because 331728816361 - 231 = 329581332713 is a prime.

It is a super-2 number, since 2×3317288163612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331728816761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165864408180 + 165864408181.

It is an arithmetic number, because the mean of its divisors is an integer number (165864408181).

Almost surely, 2331728816361 is an apocalyptic number.

It is an amenable number.

331728816361 is a deficient number, since it is larger than the sum of its proper divisors (1).

331728816361 is an equidigital number, since it uses as much as digits as its factorization.

331728816361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 870912, while the sum is 49.

The spelling of 331728816361 in words is "three hundred thirty-one billion, seven hundred twenty-eight million, eight hundred sixteen thousand, three hundred sixty-one".