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813168311041 is a prime number
BaseRepresentation
bin10111101010101001001…
…10111011101100000001
32212201221002122020210101
423311110212323230001
5101310332041423131
61421321523002401
7112515032412262
oct13652446735401
92781832566711
10813168311041
11293954348789
12111720509401
135b8b218b9b8
142b5011c4969
15162443ddc61
hexbd549bbb01

813168311041 has 2 divisors, whose sum is σ = 813168311042. Its totient is φ = 813168311040.

The previous prime is 813168310991. The next prime is 813168311047. The reversal of 813168311041 is 140113861318.

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., 701347626225 + 111820684816 = 837465^2 + 334396^2 .

It is a cyclic number.

It is not a de Polignac number, because 813168311041 - 29 = 813168310529 is a prime.

It is a super-2 number, since 2×8131683110412 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (813168311047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406584155520 + 406584155521.

It is an arithmetic number, because the mean of its divisors is an integer number (406584155521).

Almost surely, 2813168311041 is an apocalyptic number.

It is an amenable number.

813168311041 is a deficient number, since it is larger than the sum of its proper divisors (1).

813168311041 is an equidigital number, since it uses as much as digits as its factorization.

813168311041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 813168311041 in words is "eight hundred thirteen billion, one hundred sixty-eight million, three hundred eleven thousand, forty-one".