Search a number
-
+
130332110321133 = 3371394961063923
BaseRepresentation
bin11101101000100101001111…
…001000110111010111101101
3122002110121221212011122021000
4131220211033020313113231
5114040330130220234013
61141105424522430513
736311120122644540
oct3550451710672755
9562417855148230
10130332110321133
11385895a0586006
121274b2a0062439
13579535aa3b7c6
142428171b20857
151010385c86973
hex76894f2375ed

130332110321133 has 32 divisors (see below), whose sum is σ = 222255663795200. Its totient is φ = 73939696693488.

The previous prime is 130332110321123. The next prime is 130332110321201. The reversal of 130332110321133 is 331123011233031.

130332110321133 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 321 + 1 + 0 + 321 + 13 + 3 = 666.

It is not a de Polignac number, because 130332110321133 - 230 = 130331036579309 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 = 130332110321097 and 130332110321106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130332110321123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480505691 + ... + 2480558232.

It is an arithmetic number, because the mean of its divisors is an integer number (6945489493600).

Almost surely, 2130332110321133 is an apocalyptic number.

It is an amenable number.

130332110321133 is a deficient number, since it is larger than the sum of its proper divisors (91923553474067).

130332110321133 is a wasteful number, since it uses less digits than its factorization.

130332110321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961064078 (or 4961064072 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 130332110321133 its reverse (331123011233031), we get a palindrome (461455121554164).

The spelling of 130332110321133 in words is "one hundred thirty trillion, three hundred thirty-two billion, one hundred ten million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 139 189 417 973 1251 2919 3753 8757 26271 4961063923 14883191769 34727447461 44649575307 104182342383 133948725921 312547027149 689587885297 937641081447 2068763655891 4827115197079 6206290967673 14481345591237 18618872903019 43444036773711 130332110321133