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109993364029 is a prime number
BaseRepresentation
bin110011001110000011…
…1011000101000111101
3101111220121220211112101
41212130013120220331
53300231300122104
6122310311305101
710642511111413
oct1463407305075
9344817824471
10109993364029
114271442843a
121939867b191
13a4ac0155b3
1454763772b3
152cdb7365a4
hex199c1d8a3d

109993364029 has 2 divisors, whose sum is σ = 109993364030. Its totient is φ = 109993364028.

The previous prime is 109993364021. The next prime is 109993364069. The reversal of 109993364029 is 920463399901.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103269036025 + 6724328004 = 321355^2 + 82002^2 .

It is an emirp because it is prime and its reverse (920463399901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 109993364029 - 23 = 109993364021 is a prime.

It is a super-3 number, since 3×1099933640293 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109993364021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54996682014 + 54996682015.

It is an arithmetic number, because the mean of its divisors is an integer number (54996682015).

Almost surely, 2109993364029 is an apocalyptic number.

It is an amenable number.

109993364029 is a deficient number, since it is larger than the sum of its proper divisors (1).

109993364029 is an equidigital number, since it uses as much as digits as its factorization.

109993364029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2834352, while the sum is 55.

The spelling of 109993364029 in words is "one hundred nine billion, nine hundred ninety-three million, three hundred sixty-four thousand, twenty-nine".