Search a number
-
+
12121101073 is a prime number
BaseRepresentation
bin10110100100111100…
…10101001100010001
31011021201222201210101
423102132111030101
5144311000213243
65322433132401
7606241442044
oct132236251421
934251881711
1012121101073
115160055704
1224233ba101
1311b2285973
1482db42c5b
154ae1e254d
hex2d2795311

12121101073 has 2 divisors, whose sum is σ = 12121101074. Its totient is φ = 12121101072.

The previous prime is 12121101011. The next prime is 12121101077. The reversal of 12121101073 is 37010112121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8235199504 + 3885901569 = 90748^2 + 62337^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121101073 - 29 = 12121100561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12121101073.

It is not a weakly prime, because it can be changed into another prime (12121101077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060550536 + 6060550537.

It is an arithmetic number, because the mean of its divisors is an integer number (6060550537).

Almost surely, 212121101073 is an apocalyptic number.

It is an amenable number.

12121101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121101073 is an equidigital number, since it uses as much as digits as its factorization.

12121101073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 12121101073 its reverse (37010112121), we get a palindrome (49131213194).

The spelling of 12121101073 in words is "twelve billion, one hundred twenty-one million, one hundred one thousand, seventy-three".