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133242132033 = 352918907639
BaseRepresentation
bin111110000010111011…
…0011001011001000001
3110201220212120121200000
41330011312121121001
54140334441211113
6141113253150213
712424602302223
oct1740566313101
9421825517600
10133242132033
115156478999a
12219a662b369
13c7457a545a
14663dd00413
1536ec7d5373
hex1f05d99641

133242132033 has 24 divisors (see below), whose sum is σ = 206471428800. Its totient is φ = 85765045968.

The previous prime is 133242132017. The next prime is 133242132043. The reversal of 133242132033 is 330231242331.

133242132033 is a `hidden beast` number, since 1 + 3 + 32 + 421 + 3 + 203 + 3 = 666.

It is not a de Polignac number, because 133242132033 - 24 = 133242132017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133242131988 and 133242132006.

It is not an unprimeable number, because it can be changed into a prime (133242132043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9446773 + ... + 9460866.

It is an arithmetic number, because the mean of its divisors is an integer number (8602976200).

Almost surely, 2133242132033 is an apocalyptic number.

It is an amenable number.

133242132033 is a deficient number, since it is larger than the sum of its proper divisors (73229296767).

133242132033 is an equidigital number, since it uses as much as digits as its factorization.

133242132033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907683 (or 18907671 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133242132033 its reverse (330231242331), we get a palindrome (463473374364).

The spelling of 133242132033 in words is "one hundred thirty-three billion, two hundred forty-two million, one hundred thirty-two thousand, thirty-three".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 7047 18907639 56722917 170168751 510506253 548321531 1531518759 1644964593 4594556277 4934893779 14804681337 44414044011 133242132033