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12144351231 = 328091667951
BaseRepresentation
bin10110100111101110…
…00001011111111111
31011100100201222000100
423103313001133333
5144332423214411
65325023332143
7606643165545
oct132367013777
934310658010
1012144351231
115172195911
12242b151053
1311b703655c
14832c75d95
154b1286456
hex2d3dc17ff

12144351231 has 12 divisors (see below), whose sum is σ = 17563534560. Its totient is φ = 8086221600.

The previous prime is 12144351227. The next prime is 12144351293. The reversal of 12144351231 is 13215344121.

12144351231 is a `hidden beast` number, since 1 + 2 + 144 + 3 + 512 + 3 + 1 = 666.

It is not a de Polignac number, because 12144351231 - 22 = 12144351227 is a prime.

It is a super-3 number, since 3×121443512313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12144351195 and 12144351204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144351221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826695 + ... + 841256.

It is an arithmetic number, because the mean of its divisors is an integer number (1463627880).

Almost surely, 212144351231 is an apocalyptic number.

12144351231 is a deficient number, since it is larger than the sum of its proper divisors (5419183329).

12144351231 is a wasteful number, since it uses less digits than its factorization.

12144351231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668766 (or 1668763 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12144351231 its reverse (13215344121), we get a palindrome (25359695352).

The spelling of 12144351231 in words is "twelve billion, one hundred forty-four million, three hundred fifty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 809 2427 7281 1667951 5003853 15011559 1349372359 4048117077 12144351231