Search a number
-
+
12121117033 is a prime number
BaseRepresentation
bin10110100100111100…
…11001000101101001
31011021202000112200111
423102132121011221
5144311001221113
65322433334321
7606241536424
oct132236310551
934252015614
1012121117033
1151600666a3
1224234073a1
1311b228cccc
1482db489bb
154ae1e713d
hex2d2799169

12121117033 has 2 divisors, whose sum is σ = 12121117034. Its totient is φ = 12121117032.

The previous prime is 12121116971. The next prime is 12121117039. The reversal of 12121117033 is 33071112121.

12121117033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9152174889 + 2968942144 = 95667^2 + 54488^2 .

It is a cyclic number.

It is not a de Polignac number, because 12121117033 - 221 = 12119019881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12121116995 and 12121117013.

It is not a weakly prime, because it can be changed into another prime (12121117039) 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, 6060558516 + 6060558517.

It is an arithmetic number, because the mean of its divisors is an integer number (6060558517).

Almost surely, 212121117033 is an apocalyptic number.

It is an amenable number.

12121117033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121117033 is an equidigital number, since it uses as much as digits as its factorization.

12121117033 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 22.

Adding to 12121117033 its reverse (33071112121), we get a palindrome (45192229154).

The spelling of 12121117033 in words is "twelve billion, one hundred twenty-one million, one hundred seventeen thousand, thirty-three".