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814093348331 is a prime number
BaseRepresentation
bin10111101100010111011…
…11101010110111101011
32212211022120021000101202
423312023233222313223
5101314230344121311
61421553405434415
7112546664200064
oct13661357526753
92784276230352
10814093348331
11294289520a0a
1211193a26ba0b
135b9cba10543
142b58bdbb56b
151629a713e3b
hexbd8bbeadeb

814093348331 has 2 divisors, whose sum is σ = 814093348332. Its totient is φ = 814093348330.

The previous prime is 814093348279. The next prime is 814093348351. The reversal of 814093348331 is 133843390418.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-814093348331 is a prime.

It is a super-2 number, since 2×8140933483312 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (814093348351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407046674165 + 407046674166.

It is an arithmetic number, because the mean of its divisors is an integer number (407046674166).

Almost surely, 2814093348331 is an apocalyptic number.

814093348331 is a deficient number, since it is larger than the sum of its proper divisors (1).

814093348331 is an equidigital number, since it uses as much as digits as its factorization.

814093348331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 814093348331 in words is "eight hundred fourteen billion, ninety-three million, three hundred forty-eight thousand, three hundred thirty-one".