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113205141149 is a prime number
BaseRepresentation
bin110100101101110001…
…1010101111010011101
3101211012110110000110112
41221123203111322131
53323321004004044
6124001123015405
711115220552202
oct1513343257235
9354173400415
10113205141149
11440123950a1
1219b3420a565
13a8a1548829
14569cb49ca9
152e286ae09e
hex1a5b8d5e9d

113205141149 has 2 divisors, whose sum is σ = 113205141150. Its totient is φ = 113205141148.

The previous prime is 113205141121. The next prime is 113205141169. The reversal of 113205141149 is 941141502311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105371652100 + 7833489049 = 324610^2 + 88507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113205141149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113205141109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56602570574 + 56602570575.

It is an arithmetic number, because the mean of its divisors is an integer number (56602570575).

Almost surely, 2113205141149 is an apocalyptic number.

It is an amenable number.

113205141149 is a deficient number, since it is larger than the sum of its proper divisors (1).

113205141149 is an equidigital number, since it uses as much as digits as its factorization.

113205141149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 32.

The spelling of 113205141149 in words is "one hundred thirteen billion, two hundred five million, one hundred forty-one thousand, one hundred forty-nine".