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12121000033 is a prime number
BaseRepresentation
bin10110100100111011…
…11100100001100001
31011021201210121012011
423102131330201201
5144310434000113
65322431032521
7606240541342
oct132235744141
934251717164
1012121000033
11515aa967aa
12242336b741
1311b224b98c
1482db180c9
154ae1c263d
hex2d277c861

12121000033 has 2 divisors, whose sum is σ = 12121000034. Its totient is φ = 12121000032.

The previous prime is 12121000009. The next prime is 12121000039. The reversal of 12121000033 is 33000012121.

12121000033 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., 8337150864 + 3783849169 = 91308^2 + 61513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12121000033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12120999977 and 12121000022.

It is not a weakly prime, because it can be changed into another prime (12121000039) 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, 6060500016 + 6060500017.

It is an arithmetic number, because the mean of its divisors is an integer number (6060500017).

Almost surely, 212121000033 is an apocalyptic number.

It is an amenable number.

12121000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12121000033 is an equidigital number, since it uses as much as digits as its factorization.

12121000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12121000033 its reverse (33000012121), we get a palindrome (45121012154).

The spelling of 12121000033 in words is "twelve billion, one hundred twenty-one million, thirty-three", and thus it is an aban number.