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12144242133 = 321349360237
BaseRepresentation
bin10110100111101101…
…00110110111010101
31011100100112102100200
423103312212313111
5144332411222013
65325021131113
7606642232512
oct132366466725
934310472320
1012144242133
115172120951
12242b0b9a99
1311b6cc89ba
14832c48309
154b1263e73
hex2d3da6dd5

12144242133 has 6 divisors (see below), whose sum is σ = 17541683094. Its totient is φ = 8096161416.

The previous prime is 12144242081. The next prime is 12144242147. The reversal of 12144242133 is 33124244121.

12144242133 is a `hidden beast` number, since 1 + 2 + 1 + 442 + 4 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10683703044 + 1460539089 = 103362^2 + 38217^2 .

It is not a de Polignac number, because 12144242133 - 26 = 12144242069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12144242097 and 12144242106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144242233) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 674680110 + ... + 674680127.

It is an arithmetic number, because the mean of its divisors is an integer number (2923613849).

Almost surely, 212144242133 is an apocalyptic number.

It is an amenable number.

12144242133 is a deficient number, since it is larger than the sum of its proper divisors (5397440961).

12144242133 is a wasteful number, since it uses less digits than its factorization.

12144242133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349360243 (or 1349360240 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12144242133 its reverse (33124244121), we get a palindrome (45268486254).

The spelling of 12144242133 in words is "twelve billion, one hundred forty-four million, two hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 1349360237 4048080711 12144242133