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130300331320300 = 2252471011601171449
BaseRepresentation
bin11101101000000111101000…
…111101100110001111101100
3122002100120221010101010112011
4131220013220331212033230
5114034320034304222200
61141043051300251004
736305613451621411
oct3550075075461754
9562316833333464
10130300331320300
1138577073120359
12127450b13a0a64
135792364c297bb
1424267d9308108
15100e625da15ba
hex7681e8f663ec

130300331320300 has 144 divisors (see below), whose sum is σ = 291810654172800. Its totient is φ = 50474291200000.

The previous prime is 130300331320297. The next prime is 130300331320301. The reversal of 130300331320300 is 3023133003031.

It is not an unprimeable number, because it can be changed into a prime (130300331320301) 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, 759908976 + ... + 760080424.

It is an arithmetic number, because the mean of its divisors is an integer number (2026462876200).

Almost surely, 2130300331320300 is an apocalyptic number.

130300331320300 is a gapful number since it is divisible by the number (10) 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 130300331320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145905327086400).

130300331320300 is an abundant number, since it is smaller than the sum of its proper divisors (161510322852500).

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

130300331320300 is a wasteful number, since it uses less digits than its factorization.

130300331320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173212 (or 173205 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 130300331320300 its reverse (3023133003031), we get a palindrome (133323464323331).

The spelling of 130300331320300 in words is "one hundred thirty trillion, three hundred billion, three hundred thirty-one million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 188 202 235 404 470 505 940 1010 1175 1601 2020 2350 2525 3202 4700 4747 5050 6404 8005 9494 10100 16010 18988 23735 32020 40025 47470 75247 80050 94940 118675 150494 160100 161701 171449 237350 300988 323402 342898 376235 474700 646804 685796 752470 808505 857245 1504940 1617010 1714490 1881175 3234020 3428980 3762350 4042525 4286225 7524700 7599947 8058103 8085050 8572450 15199894 16116206 16170100 17144900 17316349 30399788 32232412 34632698 37999735 40290515 69265396 75999470 80581030 86581745 151998940 161162060 173163490 189998675 201452575 274489849 346326980 379997350 402905150 432908725 548979698 759994700 805810300 813868403 865817450 1097959396 1372449245 1627736806 1731634900 2744898490 3255473612 4069342015 5489796980 6862246225 8138684030 12901022903 13724492450 16277368060 20346710075 25802045806 27448984900 27723474749 40693420150 51604091612 55446949498 64505114515 81386840300 110893898996 129010229030 138617373745 258020458060 277234747490 322525572575 554469494980 645051145150 693086868725 1290102290300 1303003313203 1386173737450 2606006626406 2772347474900 5212013252812 6515016566015 13030033132030 26060066264060 32575082830075 65150165660150 130300331320300