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823112473 is a prime number
BaseRepresentation
bin110001000011111…
…011001100011001
32010100211110001011
4301003323030121
53141204044343
6213402053521
726253224551
oct6103731431
92110743034
10823112473
11392697647
121ab7aa2a1
131016b5c01
147b464161
154c3e029d
hex310fb319

823112473 has 2 divisors, whose sum is σ = 823112474. Its totient is φ = 823112472.

The previous prime is 823112429. The next prime is 823112483. The reversal of 823112473 is 374211328.

823112473 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 432140944 + 390971529 = 20788^2 + 19773^2 .

It is a cyclic number.

It is not a de Polignac number, because 823112473 - 225 = 789558041 is a prime.

It is equal to p42273067 and since 823112473 and 42273067 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (823112483) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411556236 + 411556237.

It is an arithmetic number, because the mean of its divisors is an integer number (411556237).

Almost surely, 2823112473 is an apocalyptic number.

It is an amenable number.

823112473 is a deficient number, since it is larger than the sum of its proper divisors (1).

823112473 is an equidigital number, since it uses as much as digits as its factorization.

823112473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

The square root of 823112473 is about 28689.9367897526. The cubic root of 823112473 is about 937.1729126918.

The spelling of 823112473 in words is "eight hundred twenty-three million, one hundred twelve thousand, four hundred seventy-three".