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114240022181 is a prime number
BaseRepresentation
bin110101001100100111…
…1000110011010100101
3101220212120202102100122
41222121033012122211
53332430421202211
6124251532051325
711152655111105
oct1523117063245
9356776672318
10114240022181
11444a357257a
121a182903b45
13aa07a7957c
14575a377205
152e894806db
hex1a993c66a5

114240022181 has 2 divisors, whose sum is σ = 114240022182. Its totient is φ = 114240022180.

The previous prime is 114240022133. The next prime is 114240022243. The reversal of 114240022181 is 181220042411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70402131556 + 43837890625 = 265334^2 + 209375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114240022181 is a prime.

It is a super-2 number, since 2×1142400221812 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114240022181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114240022081) 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, 57120011090 + 57120011091.

It is an arithmetic number, because the mean of its divisors is an integer number (57120011091).

Almost surely, 2114240022181 is an apocalyptic number.

It is an amenable number.

114240022181 is a deficient number, since it is larger than the sum of its proper divisors (1).

114240022181 is an equidigital number, since it uses as much as digits as its factorization.

114240022181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 26.

Adding to 114240022181 its reverse (181220042411), we get a palindrome (295460064592).

The spelling of 114240022181 in words is "one hundred fourteen billion, two hundred forty million, twenty-two thousand, one hundred eighty-one".