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130100410304 = 26171928122397
BaseRepresentation
bin111100100101010010…
…1101011011111000000
3110102210220212121122222
41321022211223133000
54112421201112204
6135433423150212
712254003145524
oct1711245533700
9412726777588
10130100410304
11501a2320957
122126a445368
13c364930007
146422965d84
1535b6a99abe
hex1e4a96b7c0

130100410304 has 112 divisors (see below), whose sum is σ = 288778309920. Its totient is φ = 57792430080.

The previous prime is 130100410303. The next prime is 130100410327. The reversal of 130100410304 is 403014001031.

It is a super-2 number, since 2×1301004103042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130100410301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5797634 + ... + 5820030.

Almost surely, 2130100410304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130100410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144389154960).

130100410304 is an abundant number, since it is smaller than the sum of its proper divisors (158677899616).

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

130100410304 is a wasteful number, since it uses less digits than its factorization.

130100410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22726 (or 22716 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130100410304 its reverse (403014001031), we get a palindrome (533114411335).

The spelling of 130100410304 in words is "one hundred thirty billion, one hundred million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 281 304 323 544 562 608 646 1088 1124 1216 1292 2248 2584 4496 4777 5168 5339 8992 9554 10336 10678 17984 19108 20672 21356 22397 38216 42712 44794 76432 85424 89588 90763 152864 170848 179176 181526 305728 341696 358352 363052 380749 425543 716704 726104 761498 851086 1433408 1452208 1522996 1702172 2904416 3045992 3404344 5808832 6091984 6293557 6808688 7234231 12183968 12587114 13617376 14468462 24367936 25174228 27234752 28936924 50348456 57873848 100696912 106990469 115747696 119577583 201393824 213980938 231495392 239155166 402787648 427961876 462990784 478310332 855923752 956620664 1711847504 1913241328 2032818911 3423695008 3826482656 4065637822 6847390016 7652965312 8131275644 16262551288 32525102576 65050205152 130100410304