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823973711317 is a prime number
BaseRepresentation
bin10111111110110001010…
…10010000110111010101
32220202211010220110101121
423333120222100313111
5101444444232230232
61430310040123541
7113346556662061
oct13773052206725
92822733813347
10823973711317
11298499751959
121138371665b1
135c9149a0083
142bc482baaa1
1516677d3dd97
hexbfd8a90dd5

823973711317 has 2 divisors, whose sum is σ = 823973711318. Its totient is φ = 823973711316.

The previous prime is 823973711291. The next prime is 823973711321. The reversal of 823973711317 is 713117379328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 592767567396 + 231206143921 = 769914^2 + 480839^2 .

It is a cyclic number.

It is not a de Polignac number, because 823973711317 - 231 = 821826227669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (823973711387) 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, 411986855658 + 411986855659.

It is an arithmetic number, because the mean of its divisors is an integer number (411986855659).

Almost surely, 2823973711317 is an apocalyptic number.

It is an amenable number.

823973711317 is a deficient number, since it is larger than the sum of its proper divisors (1).

823973711317 is an equidigital number, since it uses as much as digits as its factorization.

823973711317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1333584, while the sum is 52.

The spelling of 823973711317 in words is "eight hundred twenty-three billion, nine hundred seventy-three million, seven hundred eleven thousand, three hundred seventeen".