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130410125316 = 22323143263199
BaseRepresentation
bin111100101110100001…
…1001001100000000100
3110110121111122202210100
41321131003021200010
54114034443002231
6135524245324100
712264453526662
oct1713503114004
9413544582710
10130410125316
1150341130379
1221336106630
13c3b3b4ca33
146451b47c32
1535d3d771e6
hex1e5d0c9804

130410125316 has 108 divisors (see below), whose sum is σ = 348384691200. Its totient is φ = 41088811680.

The previous prime is 130410125309. The next prime is 130410125341. The reversal of 130410125316 is 613521014031.

It is a happy number.

130410125316 is a `hidden beast` number, since 1 + 304 + 101 + 253 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130410125316.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2031885 + ... + 2095083.

Almost surely, 2130410125316 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 130410125316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174192345600).

130410125316 is an abundant number, since it is smaller than the sum of its proper divisors (217974565884).

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

130410125316 is a wasteful number, since it uses less digits than its factorization.

130410125316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63326 (or 63278 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130410125316 its reverse (613521014031), we get a palindrome (743931139347).

The spelling of 130410125316 in words is "one hundred thirty billion, four hundred ten million, one hundred twenty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 258 279 372 387 516 558 774 1116 1333 1548 1849 2666 3698 3999 5332 5547 7396 7998 11094 11997 15996 16641 22188 23994 33282 47988 57319 63199 66564 114638 126398 171957 189597 229276 252796 343914 379194 515871 568791 687828 758388 1031742 1137582 1959169 2063484 2275164 2717557 3918338 5435114 5877507 7836676 8152671 10870228 11755014 16305342 17632521 23510028 24458013 32610684 35265042 48916026 70530084 84244267 97832052 116854951 168488534 233709902 252732801 336977068 350564853 467419804 505465602 701129706 758198403 1010931204 1051694559 1402259412 1516396806 2103389118 3032793612 3622503481 4206778236 7245006962 10867510443 14490013924 21735020886 32602531329 43470041772 65205062658 130410125316