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130374104328 = 233213457304789
BaseRepresentation
bin111100101101011100…
…1101111010100001000
3110110111222212201021200
41321122321233110020
54114001232314303
6135520521304200
712263535413346
oct1713271572410
9413458781250
10130374104328
1150322868266
1221326035060
13c3a954a340
14644b04c996
1535d0b0e3a3
hex1e5ae6f508

130374104328 has 96 divisors (see below), whose sum is σ = 381091128600. Its totient is φ = 40027198464.

The previous prime is 130374104327. The next prime is 130374104363. The reversal of 130374104328 is 823401473031.

It can be written as a sum of positive squares in 4 ways, for example, as 126094589604 + 4279514724 = 355098^2 + 65418^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 130374104292 and 130374104301.

It is not an unprimeable number, because it can be changed into a prime (130374104321) 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, 275358 + ... + 580146.

Almost surely, 2130374104328 is an apocalyptic number.

130374104328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130374104328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190545564300).

130374104328 is an abundant number, since it is smaller than the sum of its proper divisors (250717024272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130374104328 is a wasteful number, since it uses less digits than its factorization.

130374104328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305271 (or 305264 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 130374104328 its reverse (823401473031), we get a palindrome (953775577359).

The spelling of 130374104328 in words is "one hundred thirty billion, three hundred seventy-four million, one hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 457 468 914 936 1371 1828 2742 3656 4113 5484 5941 8226 10968 11882 16452 17823 23764 32904 35646 47528 53469 71292 106938 142584 213876 304789 427752 609578 914367 1219156 1828734 2438312 2743101 3657468 3962257 5486202 7314936 7924514 10972404 11886771 15849028 21944808 23773542 31698056 35660313 47547084 71320626 95094168 139288573 142641252 278577146 285282504 417865719 557154292 835731438 1114308584 1253597157 1671462876 1810751449 2507194314 3342925752 3621502898 5014388628 5432254347 7243005796 10028777256 10864508694 14486011592 16296763041 21729017388 32593526082 43458034776 65187052164 130374104328