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133312312093 is a prime number
BaseRepresentation
bin111110000101000001…
…0000111001100011101
3110202002202122010121111
41330022002013030131
54141010422441333
6141124241302021
712426413645632
oct1741202071435
9422082563544
10133312312093
11515a0363244
1221a06034911
13c7571a7c0c
14664936c189
153703a494cd
hex1f0a08731d

133312312093 has 2 divisors, whose sum is σ = 133312312094. Its totient is φ = 133312312092.

The previous prime is 133312312051. The next prime is 133312312117. The reversal of 133312312093 is 390213213331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116853218244 + 16459093849 = 341838^2 + 128293^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133312312093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133312312013) 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, 66656156046 + 66656156047.

It is an arithmetic number, because the mean of its divisors is an integer number (66656156047).

Almost surely, 2133312312093 is an apocalyptic number.

It is an amenable number.

133312312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

133312312093 is an equidigital number, since it uses as much as digits as its factorization.

133312312093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 133312312093 in words is "one hundred thirty-three billion, three hundred twelve million, three hundred twelve thousand, ninety-three".