Search a number
-
+
133203312441 = 32237915435279
BaseRepresentation
bin111110000001110001…
…0010011111100111001
3110201211011112101012100
41330003202103330321
54140300021444231
6141105345134013
712423621321453
oct1740342237471
9421734471170
10133203312441
1151544885191
122199562a309
13c73a732c94
146638ab72d3
1536e91b81e6
hex1f03893f39

133203312441 has 48 divisors (see below), whose sum is σ = 203481907200. Its totient is φ = 83795808096.

The previous prime is 133203312413. The next prime is 133203312467. The reversal of 133203312441 is 144213302331.

It is a happy number.

133203312441 is a `hidden beast` number, since 1 + 3 + 3 + 203 + 3 + 12 + 441 = 666.

It is not a de Polignac number, because 133203312441 - 215 = 133203279673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133203311441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25230040 + ... + 25235318.

It is an arithmetic number, because the mean of its divisors is an integer number (4239206400).

Almost surely, 2133203312441 is an apocalyptic number.

It is an amenable number.

133203312441 is a deficient number, since it is larger than the sum of its proper divisors (70278594759).

133203312441 is a wasteful number, since it uses less digits than its factorization.

133203312441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930 (or 6927 counting only the distinct ones).

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

Adding to 133203312441 its reverse (144213302331), we get a palindrome (277416614772).

The spelling of 133203312441 in words is "one hundred thirty-three billion, two hundred three million, three hundred twelve thousand, four hundred forty-one".

Divisors: 1 3 9 23 69 79 207 237 711 1543 1817 4629 5279 5451 13887 15837 16353 35489 47511 106467 121417 121897 319401 364251 365691 417041 1092753 1097073 1251123 2803631 3753369 8145497 8410893 9591943 24436491 25232679 28775829 73309473 86327487 187346431 562039293 643494263 1686117879 1930482789 5791448367 14800368049 44401104147 133203312441