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133409993 is a prime number
BaseRepresentation
bin1111111001110…
…10110011001001
3100022000221002212
413330322303021
5233123104433
621123234505
73206652263
oct774726311
9308027085
10133409993
11693409a2
1238818a35
1321840932
1413a0ab33
15baa3d48
hex7f3acc9

133409993 has 2 divisors, whose sum is σ = 133409994. Its totient is φ = 133409992.

The previous prime is 133409987. The next prime is 133410031. The reversal of 133409993 is 399904331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84787264 + 48622729 = 9208^2 + 6973^2 .

It is a cyclic number.

It is not a de Polignac number, because 133409993 - 26 = 133409929 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 133409993.

It is not a weakly prime, because it can be changed into another prime (133409593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66704996 + 66704997.

It is an arithmetic number, because the mean of its divisors is an integer number (66704997).

Almost surely, 2133409993 is an apocalyptic number.

It is an amenable number.

133409993 is a deficient number, since it is larger than the sum of its proper divisors (1).

133409993 is an equidigital number, since it uses as much as digits as its factorization.

133409993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 133409993 is about 11550.3243677396. The cubic root of 133409993 is about 510.9708445471.

The spelling of 133409993 in words is "one hundred thirty-three million, four hundred nine thousand, nine hundred ninety-three".