Search a number
-
+
133242813837 = 3372330651671
BaseRepresentation
bin111110000010111100…
…0111111110110001101
3110201220220212020221000
41330011320333312031
54140340130020322
6141113315530513
712424611142050
oct1740570776615
9421826766830
10133242813837
1151565105171
12219a68b9a39
13c7459838a3
14664003aa97
1536ec8bc3ac
hex1f05e3fd8d

133242813837 has 32 divisors (see below), whose sum is σ = 235404840960. Its totient is φ = 72828367920.

The previous prime is 133242813829. The next prime is 133242813841. The reversal of 133242813837 is 738318242331.

It is a happy number.

133242813837 is a `hidden beast` number, since 1 + 332 + 4 + 281 + 3 + 8 + 37 = 666.

It is not a de Polignac number, because 133242813837 - 23 = 133242813829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133242813792 and 133242813801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133242813857) 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 31 ways as a sum of consecutive naturals, for example, 15321489 + ... + 15330182.

It is an arithmetic number, because the mean of its divisors is an integer number (7356401280).

Almost surely, 2133242813837 is an apocalyptic number.

It is an amenable number.

133242813837 is a deficient number, since it is larger than the sum of its proper divisors (102162027123).

133242813837 is a wasteful number, since it uses less digits than its factorization.

133242813837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30651710 (or 30651704 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 133242813837 in words is "one hundred thirty-three billion, two hundred forty-two million, eight hundred thirteen thousand, eight hundred thirty-seven".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 30651671 91955013 214561697 275865039 643685091 704988433 827595117 1931055273 2114965299 4934919031 5793165819 6344895897 14804757093 19034687691 44414271279 133242813837