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831365993 is a prime number
BaseRepresentation
bin110001100011011…
…010001101101001
32010221100202202002
4301203122031221
53200312202433
6214255020345
726413331363
oct6143321551
92127322662
10831365993
11397314637
121b250a6b5
13103315853
147c5b1d33
154cec09e8
hex318da369

831365993 has 2 divisors, whose sum is σ = 831365994. Its totient is φ = 831365992.

The previous prime is 831365971. The next prime is 831366001. The reversal of 831365993 is 399563138.

831365993 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., 790059664 + 41306329 = 28108^2 + 6427^2 .

It is a cyclic number.

It is not a de Polignac number, because 831365993 - 26 = 831365929 is a prime.

It is not a weakly prime, because it can be changed into another prime (831365923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415682996 + 415682997.

It is an arithmetic number, because the mean of its divisors is an integer number (415682997).

Almost surely, 2831365993 is an apocalyptic number.

It is an amenable number.

831365993 is a deficient number, since it is larger than the sum of its proper divisors (1).

831365993 is an equidigital number, since it uses as much as digits as its factorization.

831365993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 524880, while the sum is 47.

The square root of 831365993 is about 28833.4179902418. The cubic root of 831365993 is about 940.2949101077.

The spelling of 831365993 in words is "eight hundred thirty-one million, three hundred sixty-five thousand, nine hundred ninety-three".