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12111133337 is a prime number
BaseRepresentation
bin10110100011110000…
…10011101010011001
31011021001020022121222
423101320103222121
5144300422231322
65321435341425
7606060635432
oct132170235231
934231208558
1012111133337
115155467806
12241bbb1875
1311b01a59b4
1482c6aa489
154ad3c3e42
hex2d1e13a99

12111133337 has 2 divisors, whose sum is σ = 12111133338. Its totient is φ = 12111133336.

The previous prime is 12111133303. The next prime is 12111133343. The reversal of 12111133337 is 73333111121.

It is a happy number.

12111133337 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., 11031090841 + 1080042496 = 105029^2 + 32864^2 .

It is a cyclic number.

It is not a de Polignac number, because 12111133337 - 230 = 11037391513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12111133367) 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, 6055566668 + 6055566669.

It is an arithmetic number, because the mean of its divisors is an integer number (6055566669).

Almost surely, 212111133337 is an apocalyptic number.

It is an amenable number.

12111133337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111133337 is an equidigital number, since it uses as much as digits as its factorization.

12111133337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

Adding to 12111133337 its reverse (73333111121), we get a palindrome (85444244458).

The spelling of 12111133337 in words is "twelve billion, one hundred eleven million, one hundred thirty-three thousand, three hundred thirty-seven".