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121838252093 is a prime number
BaseRepresentation
bin111000101111000100…
…0000011000000111101
3102122111010011111022022
41301132020003000331
53444011043031333
6131545520325525
711542160024645
oct1613610030075
9378433144268
10121838252093
1147742576128
121b7434738a5
13b648cab4bc
145c7b539525
153281567c98
hex1c5e20303d

121838252093 has 2 divisors, whose sum is σ = 121838252094. Its totient is φ = 121838252092.

The previous prime is 121838252087. The next prime is 121838252099. The reversal of 121838252093 is 390252838121.

It is a balanced prime because it is at equal distance from previous prime (121838252087) and next prime (121838252099).

It can be written as a sum of positive squares in only one way, i.e., 99122336569 + 22715915524 = 314837^2 + 150718^2 .

It is a cyclic number.

It is not a de Polignac number, because 121838252093 - 28 = 121838251837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121838252099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60919126046 + 60919126047.

It is an arithmetic number, because the mean of its divisors is an integer number (60919126047).

Almost surely, 2121838252093 is an apocalyptic number.

It is an amenable number.

121838252093 is a deficient number, since it is larger than the sum of its proper divisors (1).

121838252093 is an equidigital number, since it uses as much as digits as its factorization.

121838252093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 121838252093 in words is "one hundred twenty-one billion, eight hundred thirty-eight million, two hundred fifty-two thousand, ninety-three".