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12121003073 is a prime number
BaseRepresentation
bin10110100100111011…
…11101010001000001
31011021201210202100202
423102131331101001
5144310434044243
65322431054545
7606240553244
oct132235752101
934251722322
1012121003073
11515aa99013
122423371455
1311b225018a
1482db1925b
154ae1c34b8
hex2d277d441

12121003073 has 2 divisors, whose sum is σ = 12121003074. Its totient is φ = 12121003072.

The previous prime is 12121003057. The next prime is 12121003091. The reversal of 12121003073 is 37030012121.

12121003073 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., 11030880784 + 1090122289 = 105028^2 + 33017^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121003073 - 24 = 12121003057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12121003673) 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, 6060501536 + 6060501537.

It is an arithmetic number, because the mean of its divisors is an integer number (6060501537).

Almost surely, 212121003073 is an apocalyptic number.

It is an amenable number.

12121003073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121003073 is an equidigital number, since it uses as much as digits as its factorization.

12121003073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 12121003073 its reverse (37030012121), we get a palindrome (49151015194).

The spelling of 12121003073 in words is "twelve billion, one hundred twenty-one million, three thousand, seventy-three".