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14224112129 is a prime number
BaseRepresentation
bin11010011111101001…
…01011101000000001
31100201022011202121202
431033310223220001
5213112333042004
610311240030545
71012325646443
oct151764535001
940638152552
1014224112129
11603a15aa77
12290b762455
131458b891c6
1498d174493
15583b51b1e
hex34fd2ba01

14224112129 has 2 divisors, whose sum is σ = 14224112130. Its totient is φ = 14224112128.

The previous prime is 14224112099. The next prime is 14224112167. The reversal of 14224112129 is 92121142241.

It is a happy number.

14224112129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7393420225 + 6830691904 = 85985^2 + 82648^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14224112129 is a prime.

It is not a weakly prime, because it can be changed into another prime (14224312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7112056064 + 7112056065.

It is an arithmetic number, because the mean of its divisors is an integer number (7112056065).

Almost surely, 214224112129 is an apocalyptic number.

It is an amenable number.

14224112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

14224112129 is an equidigital number, since it uses as much as digits as its factorization.

14224112129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 29.

The spelling of 14224112129 in words is "fourteen billion, two hundred twenty-four million, one hundred twelve thousand, one hundred twenty-nine".