Search a number
-
+
133034403137 is a prime number
BaseRepresentation
bin111101111100101110…
…1111110010101000001
3110201101101200220012012
41323321131332111001
54134423301400022
6141040512542305
712416500524506
oct1737135762501
9421341626165
10133034403137
11514684a8119
1221948b51995
13c71174324c
1466204a94ad
1536d9450de2
hex1ef977e541

133034403137 has 2 divisors, whose sum is σ = 133034403138. Its totient is φ = 133034403136.

The previous prime is 133034403127. The next prime is 133034403157. The reversal of 133034403137 is 731304430331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83715320896 + 49319082241 = 289336^2 + 222079^2 .

It is a cyclic number.

It is not a de Polignac number, because 133034403137 - 222 = 133030208833 is a prime.

It is not a weakly prime, because it can be changed into another prime (133034403127) 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, 66517201568 + 66517201569.

It is an arithmetic number, because the mean of its divisors is an integer number (66517201569).

Almost surely, 2133034403137 is an apocalyptic number.

It is an amenable number.

133034403137 is a deficient number, since it is larger than the sum of its proper divisors (1).

133034403137 is an equidigital number, since it uses as much as digits as its factorization.

133034403137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 32.

Adding to 133034403137 its reverse (731304430331), we get a palindrome (864338833468).

The spelling of 133034403137 in words is "one hundred thirty-three billion, thirty-four million, four hundred three thousand, one hundred thirty-seven".