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12133111033 is a prime number
BaseRepresentation
bin10110100110011000…
…01001010011111001
31011022120120220100201
423103030021103321
5144322034023113
65323542402201
7606445512361
oct132314112371
934276526321
1012133111033
11516690899a
122427430361
1311b48cc354
1483158b9a1
154b02b5cdd
hex2d33094f9

12133111033 has 2 divisors, whose sum is σ = 12133111034. Its totient is φ = 12133111032.

The previous prime is 12133111007. The next prime is 12133111037. The reversal of 12133111033 is 33011133121.

12133111033 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., 10846597609 + 1286513424 = 104147^2 + 35868^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12133111033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12133111033.

It is not a weakly prime, because it can be changed into another prime (12133111037) 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, 6066555516 + 6066555517.

It is an arithmetic number, because the mean of its divisors is an integer number (6066555517).

Almost surely, 212133111033 is an apocalyptic number.

It is an amenable number.

12133111033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133111033 is an equidigital number, since it uses as much as digits as its factorization.

12133111033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 12133111033 its reverse (33011133121), we get a palindrome (45144244154).

The spelling of 12133111033 in words is "twelve billion, one hundred thirty-three million, one hundred eleven thousand, thirty-three".