Search a number
-
+
133030133329 is a prime number
BaseRepresentation
bin111101111100100110…
…1101011111001010001
3110201101002122222010011
41323321031223321101
54134421203231304
6141040241234521
712416416322212
oct1737115537121
9421332588104
10133030133329
1151466051155
1221947632a41
13c7108a9932
14661dab7409
1536d8daac04
hex1ef936be51

133030133329 has 2 divisors, whose sum is σ = 133030133330. Its totient is φ = 133030133328.

The previous prime is 133030133293. The next prime is 133030133347. The reversal of 133030133329 is 923331030331.

Together with previous prime (133030133293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112560250000 + 20469883329 = 335500^2 + 143073^2 .

It is an emirp because it is prime and its reverse (923331030331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133030133329 - 217 = 133030002257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133030133329.

It is not a weakly prime, because it can be changed into another prime (133030133029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515066664 + 66515066665.

It is an arithmetic number, because the mean of its divisors is an integer number (66515066665).

Almost surely, 2133030133329 is an apocalyptic number.

It is an amenable number.

133030133329 is a deficient number, since it is larger than the sum of its proper divisors (1).

133030133329 is an equidigital number, since it uses as much as digits as its factorization.

133030133329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 31.

The spelling of 133030133329 in words is "one hundred thirty-three billion, thirty million, one hundred thirty-three thousand, three hundred twenty-nine".