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130101411321 = 32724152116447
BaseRepresentation
bin111100100101010100…
…1011111110111111001
3110102210222202110210200
41321022221133313321
54112421430130241
6135433500432413
712254014515120
oct1711251376771
9412728673720
10130101411321
11501a2944a42
122126a848709
13c364bc082b
146422b46ab7
1535b6be64b6
hex1e4aa5fdf9

130101411321 has 48 divisors (see below), whose sum is σ = 216088823808. Its totient is φ = 73888588800.

The previous prime is 130101411257. The next prime is 130101411329. The reversal of 130101411321 is 123114101031.

It is a happy number.

130101411321 is a `hidden beast` number, since 1 + 301 + 0 + 1 + 41 + 1 + 321 = 666.

It is not a de Polignac number, because 130101411321 - 26 = 130101411257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130101411294 and 130101411303.

It is not an unprimeable number, because it can be changed into a prime (130101411329) 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, 7902120 + ... + 7918566.

It is an arithmetic number, because the mean of its divisors is an integer number (4501850496).

Almost surely, 2130101411321 is an apocalyptic number.

It is an amenable number.

130101411321 is a deficient number, since it is larger than the sum of its proper divisors (85987412487).

130101411321 is a wasteful number, since it uses less digits than its factorization.

130101411321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17222 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130101411321 its reverse (123114101031), we get a palindrome (253215512352).

The spelling of 130101411321 in words is "one hundred thirty billion, one hundred one million, four hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 241 521 723 1563 1687 2169 3647 4689 5061 10941 15183 16447 32823 49341 115129 125561 148023 345387 376683 878927 1036161 1130049 2636781 3963727 7910343 8568887 11891181 25706661 27746089 35673543 59982209 77119983 83238267 179946627 249714801 539839881 2065101767 6195305301 14455712369 18585915903 43367137107 130101411321