Search a number
-
+
114112055329 is a prime number
BaseRepresentation
bin110101001000110011…
…0111100100000100001
3101220112122222000211121
41222101212330200201
53332200141232304
6124231121212241
711146542315646
oct1522146744041
9356478860747
10114112055329
114443830a148
121a147a91081
13a9b73c333c
145747385dcd
152e7d104554
hex1a919bc821

114112055329 has 2 divisors, whose sum is σ = 114112055330. Its totient is φ = 114112055328.

The previous prime is 114112055303. The next prime is 114112055339. The reversal of 114112055329 is 923550211411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70263695329 + 43848360000 = 265073^2 + 209400^2 .

It is a cyclic number.

It is not a de Polignac number, because 114112055329 - 225 = 114078500897 is a prime.

It is a super-2 number, since 2×1141120553292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114112055294 and 114112055303.

It is not a weakly prime, because it can be changed into another prime (114112055339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57056027664 + 57056027665.

It is an arithmetic number, because the mean of its divisors is an integer number (57056027665).

Almost surely, 2114112055329 is an apocalyptic number.

It is an amenable number.

114112055329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114112055329 is an equidigital number, since it uses as much as digits as its factorization.

114112055329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 114112055329 in words is "one hundred fourteen billion, one hundred twelve million, fifty-five thousand, three hundred twenty-nine".