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133031435309 is a prime number
BaseRepresentation
bin111101111100101001…
…0101001110000101101
3110201101012010010002122
41323321102221300231
54134422021412214
6141040325202325
712416433354113
oct1737122516055
9421335103078
10133031435309
1151466860373
1221947b603a5
13c710c44436
14661dd35ab3
1536d906688e
hex1ef94a9c2d

133031435309 has 2 divisors, whose sum is σ = 133031435310. Its totient is φ = 133031435308.

The previous prime is 133031435279. The next prime is 133031435311. The reversal of 133031435309 is 903534130331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91069961284 + 41961474025 = 301778^2 + 204845^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133031435309 is a prime.

Together with 133031435311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133031435909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66515717654 + 66515717655.

It is an arithmetic number, because the mean of its divisors is an integer number (66515717655).

Almost surely, 2133031435309 is an apocalyptic number.

It is an amenable number.

133031435309 is a deficient number, since it is larger than the sum of its proper divisors (1).

133031435309 is an equidigital number, since it uses as much as digits as its factorization.

133031435309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43740, while the sum is 35.

The spelling of 133031435309 in words is "one hundred thirty-three billion, thirty-one million, four hundred thirty-five thousand, three hundred nine".