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130013130020304 = 2439115507539899
BaseRepresentation
bin11101100011111100001010…
…011011100101010111010000
3122001100010121120110102120010
4131203330022123211113100
5114020113342241122204
61140303112443514520
736246065364063156
oct3543741233452720
9561303546412503
10130013130020304
1138476293508883
12126b94ba228a40
13577125487b97b
142416951cd13d6
151006e1712ed89
hex763f0a6e55d0

130013130020304 has 80 divisors (see below), whose sum is σ = 336297611289600. Its totient is φ = 43282197329280.

The previous prime is 130013130020303. The next prime is 130013130020327. The reversal of 130013130020304 is 403020031310031.

It is a super-3 number, since 3×1300131300203043 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130013130020303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240540147 + ... + 241080045.

It is an arithmetic number, because the mean of its divisors is an integer number (4203720141120).

Almost surely, 2130013130020304 is an apocalyptic number.

It is an amenable number.

130013130020304 is an abundant number, since it is smaller than the sum of its proper divisors (206284481269296).

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

130013130020304 is a wasteful number, since it uses less digits than its factorization.

130013130020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546328 (or 546322 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 130013130020304 its reverse (403020031310031), we get a palindrome (533033161330335).

The spelling of 130013130020304 in words is "one hundred thirty trillion, thirteen billion, one hundred thirty million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 911 1822 2733 3644 5466 5507 7288 10932 11014 14576 16521 21864 22028 33042 43728 44056 66084 88112 132168 264336 539899 1079798 1619697 2159596 3239394 4319192 5016877 6478788 8638384 10033754 12957576 15050631 20067508 25915152 30101262 40135016 60202524 80270032 120405048 240810096 491847989 983695978 1475543967 1967391956 2951087934 2973223793 3934783912 5902175868 5946447586 7869567824 8919671379 11804351736 11892895172 17839342758 23608703472 23785790344 35678685516 47571580688 71357371032 142714742064 2708606875423 5417213750846 8125820626269 10834427501692 16251641252538 21668855003384 32503282505076 43337710006768 65006565010152 130013130020304