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199131329 is a prime number
BaseRepresentation
bin10111101111010…
…00000011000001
3111212200220211102
423313220003001
5401434200304
631432024145
74635405545
oct1367500301
9455626742
10199131329
11a244a351
1256832055
1332341ab7
141c637a25
1512736d1e
hexbde80c1

199131329 has 2 divisors, whose sum is σ = 199131330. Its totient is φ = 199131328.

The previous prime is 199131307. The next prime is 199131367. The reversal of 199131329 is 923131991.

It is an a-pointer prime, because the next prime (199131367) can be obtained adding 199131329 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132871729 + 66259600 = 11527^2 + 8140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-199131329 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 199131292 and 199131301.

It is not a weakly prime, because it can be changed into another prime (199131929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 99565664 + 99565665.

It is an arithmetic number, because the mean of its divisors is an integer number (99565665).

Almost surely, 2199131329 is an apocalyptic number.

It is an amenable number.

199131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

199131329 is an equidigital number, since it uses as much as digits as its factorization.

199131329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 38.

The square root of 199131329 is about 14111.3900449247. The cubic root of 199131329 is about 583.9556490761.

The spelling of 199131329 in words is "one hundred ninety-nine million, one hundred thirty-one thousand, three hundred twenty-nine".