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199993361 is a prime number
BaseRepresentation
bin10111110101110…
…10100000010001
3111221022201022112
423322322200101
5402144241421
631502315105
74645626011
oct1372724021
9457281275
10199993361
11a2988a77
1256b88a95
1332584289
141c7bdc41
151285745b
hexbeba811

199993361 has 2 divisors, whose sum is σ = 199993362. Its totient is φ = 199993360.

The previous prime is 199993357. The next prime is 199993427. The reversal of 199993361 is 163399991.

199993361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109077136 + 90916225 = 10444^2 + 9535^2 .

It is an emirp because it is prime and its reverse (163399991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199993361 - 22 = 199993357 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (199993331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99996680 + 99996681.

It is an arithmetic number, because the mean of its divisors is an integer number (99996681).

Almost surely, 2199993361 is an apocalyptic number.

It is an amenable number.

199993361 is a deficient number, since it is larger than the sum of its proper divisors (1).

199993361 is an equidigital number, since it uses as much as digits as its factorization.

199993361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 354294, while the sum is 50.

The square root of 199993361 is about 14141.9008976870. The cubic root of 199993361 is about 584.7970767197.

The spelling of 199993361 in words is "one hundred ninety-nine million, nine hundred ninety-three thousand, three hundred sixty-one".