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813193981 is a prime number
BaseRepresentation
bin110000011110000…
…101101011111101
32002200011112102121
4300132011223331
53131134201411
6212405322541
726103014635
oct6036055375
92080145377
10813193981
11388032746
121a8406451
13cc622492
147a0016c5
154b5d1571
hex30785afd

813193981 has 2 divisors, whose sum is σ = 813193982. Its totient is φ = 813193980.

The previous prime is 813193973. The next prime is 813194059. The reversal of 813193981 is 189391318.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 457532100 + 355661881 = 21390^2 + 18859^2 .

It is a cyclic number.

It is not a de Polignac number, because 813193981 - 23 = 813193973 is a prime.

It is a super-2 number, since 2×8131939812 = 1322568901469256722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (813193951) 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, 406596990 + 406596991.

It is an arithmetic number, because the mean of its divisors is an integer number (406596991).

Almost surely, 2813193981 is an apocalyptic number.

It is an amenable number.

813193981 is a deficient number, since it is larger than the sum of its proper divisors (1).

813193981 is an equidigital number, since it uses as much as digits as its factorization.

813193981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 46656, while the sum is 43.

The square root of 813193981 is about 28516.5562612318. The cubic root of 813193981 is about 933.3933845574.

The spelling of 813193981 in words is "eight hundred thirteen million, one hundred ninety-three thousand, nine hundred eighty-one".