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12433142133 = 3247181162391
BaseRepresentation
bin10111001010001001…
…01011000101110101
31012002111011001122200
423211010223011311
5200430341022013
65413421215113
7620050651536
oct134504530565
935074131580
1012433142133
115300203785
1224aba01499
131231b0b349
1485d36c68d
154cb7cde73
hex2e512b175

12433142133 has 24 divisors (see below), whose sum is σ = 18442534656. Its totient is φ = 8067535200.

The previous prime is 12433142123. The next prime is 12433142149. The reversal of 12433142133 is 33124133421.

It is a happy number.

12433142133 is a `hidden beast` number, since 1 + 2 + 433 + 14 + 213 + 3 = 666.

12433142133 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 12433142133 - 233 = 3843207541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12433142097 and 12433142106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433142123) 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, 4633 + ... + 157758.

It is an arithmetic number, because the mean of its divisors is an integer number (768438944).

Almost surely, 212433142133 is an apocalyptic number.

It is an amenable number.

12433142133 is a deficient number, since it is larger than the sum of its proper divisors (6009392523).

12433142133 is a wasteful number, since it uses less digits than its factorization.

12433142133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162625 (or 162622 counting only the distinct ones).

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

Adding to 12433142133 its reverse (33124133421), we get a palindrome (45557275554).

It can be divided in two parts, 124331 and 42133, that added together give a square (166464 = 4082).

The spelling of 12433142133 in words is "twelve billion, four hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 47 141 181 423 543 1629 8507 25521 76563 162391 487173 1461519 7632377 22897131 29392771 68691393 88178313 264534939 1381460237 4144380711 12433142133