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133033746317 is a prime number
BaseRepresentation
bin111101111100101101…
…1011101111110001101
3110201101100110112012112
41323321123131332031
54134423114340232
6141040450513405
712416462120543
oct1737133357615
9421340415175
10133033746317
115146809969a
1221948895865
13c7115732b4
146620377d93
1536d93714b2
hex1ef96ddf8d

133033746317 has 2 divisors, whose sum is σ = 133033746318. Its totient is φ = 133033746316.

The previous prime is 133033746289. The next prime is 133033746319. The reversal of 133033746317 is 713647330331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119481526921 + 13552219396 = 345661^2 + 116414^2 .

It is a cyclic number.

It is not a de Polignac number, because 133033746317 - 212 = 133033742221 is a prime.

It is a super-2 number, since 2×1330337463172 (a number of 23 digits) contains 22 as substring.

Together with 133033746319, 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 (133033746319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66516873158 + 66516873159.

It is an arithmetic number, because the mean of its divisors is an integer number (66516873159).

Almost surely, 2133033746317 is an apocalyptic number.

It is an amenable number.

133033746317 is a deficient number, since it is larger than the sum of its proper divisors (1).

133033746317 is an equidigital number, since it uses as much as digits as its factorization.

133033746317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 285768, while the sum is 41.

The spelling of 133033746317 in words is "one hundred thirty-three billion, thirty-three million, seven hundred forty-six thousand, three hundred seventeen".