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12144123331 is a prime number
BaseRepresentation
bin10110100111101100…
…01001110111000011
31011100100022101101121
423103312021313003
5144332343421311
65325014413111
7606641226244
oct132366116703
934310271347
1012144123331
11517204a66a
12242b061197
1311b6c868c2
14832c16ccb
154b123db71
hex2d3d89dc3

12144123331 has 2 divisors, whose sum is σ = 12144123332. Its totient is φ = 12144123330.

The previous prime is 12144123323. The next prime is 12144123373. The reversal of 12144123331 is 13332144121.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12144123331 - 23 = 12144123323 is a prime.

It is a super-2 number, since 2×121441233312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12144123296 and 12144123305.

It is not a weakly prime, because it can be changed into another prime (12144123301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6072061665 + 6072061666.

It is an arithmetic number, because the mean of its divisors is an integer number (6072061666).

Almost surely, 212144123331 is an apocalyptic number.

12144123331 is a deficient number, since it is larger than the sum of its proper divisors (1).

12144123331 is an equidigital number, since it uses as much as digits as its factorization.

12144123331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 25.

Adding to 12144123331 its reverse (13332144121), we get a palindrome (25476267452).

The spelling of 12144123331 in words is "twelve billion, one hundred forty-four million, one hundred twenty-three thousand, three hundred thirty-one".