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12144133233 = 3219573712379
BaseRepresentation
bin10110100111101100…
…01100010001110001
31011100100022212222100
423103312030101301
5144332344230413
65325014531013
7606641300151
oct132366142161
934310285870
1012144133233
115172057051
12242b066a69
1311b6c8b26b
14832c1a761
154b1241a73
hex2d3d8c471

12144133233 has 24 divisors (see below), whose sum is σ = 18469474400. Its totient is φ = 7668022464.

The previous prime is 12144133231. The next prime is 12144133237. The reversal of 12144133233 is 33233144121.

It is a happy number.

12144133233 is a `hidden beast` number, since 1 + 2 + 14 + 413 + 3 + 233 = 666.

12144133233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12144133233 - 21 = 12144133231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12144133197 and 12144133206.

It is not an unprimeable number, because it can be changed into a prime (12144133231) 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 in 23 ways as a sum of consecutive naturals, for example, 974838 + ... + 987216.

Almost surely, 212144133233 is an apocalyptic number.

It is an amenable number.

12144133233 is a deficient number, since it is larger than the sum of its proper divisors (6325341167).

12144133233 is a wasteful number, since it uses less digits than its factorization.

12144133233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18141 (or 18138 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 12144133233 its reverse (33233144121), we get a palindrome (45377277354).

The spelling of 12144133233 in words is "twelve billion, one hundred forty-four million, one hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 19 57 171 5737 12379 17211 37137 51633 109003 111411 235201 327009 705603 981027 2116809 71018323 213054969 639164907 1349348137 4048044411 12144133233