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12123444331 is a prime number
BaseRepresentation
bin10110100101001110…
…10001010001101011
31011021220101210010201
423102213101101223
5144312100204311
65322555253031
7606300401515
oct132247212153
934256353121
1012123444331
115161406189
12242414a177
1311b28c63cb
14830192bb5
154ae5069c1
hex2d29d146b

12123444331 has 2 divisors, whose sum is σ = 12123444332. Its totient is φ = 12123444330.

The previous prime is 12123444301. The next prime is 12123444341. The reversal of 12123444331 is 13344432121.

It is a happy number.

12123444331 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 is an emirp because it is prime and its reverse (13344432121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12123444331 - 211 = 12123442283 is a prime.

It is a super-2 number, since 2×121234443312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12123444331.

It is not a weakly prime, because it can be changed into another prime (12123444301) 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, 6061722165 + 6061722166.

It is an arithmetic number, because the mean of its divisors is an integer number (6061722166).

Almost surely, 212123444331 is an apocalyptic number.

12123444331 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123444331 is an equidigital number, since it uses as much as digits as its factorization.

12123444331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 28.

Adding to 12123444331 its reverse (13344432121), we get a palindrome (25467876452).

The spelling of 12123444331 in words is "twelve billion, one hundred twenty-three million, four hundred forty-four thousand, three hundred thirty-one".