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130301022300 = 223522917386573
BaseRepresentation
bin111100101011010001…
…0111101000001011100
3110110022220100202120220
41321112202331001130
54113324030203200
6135505351041340
712261660262251
oct1712642750134
9413286322526
10130301022300
1150295591699
1221305670250
13c39736ca37
146441467428
1535c94c54a0
hex1e568bd05c

130301022300 has 144 divisors (see below), whose sum is σ = 392263331040. Its totient is φ = 33354460160.

The previous prime is 130301022281. The next prime is 130301022301. The reversal of 130301022300 is 3220103031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130301022300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130301022301) 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 47 ways as a sum of consecutive naturals, for example, 1461814 + ... + 1548386.

It is an arithmetic number, because the mean of its divisors is an integer number (2724050910).

Almost surely, 2130301022300 is an apocalyptic number.

130301022300 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 130301022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196131665520).

130301022300 is an abundant number, since it is smaller than the sum of its proper divisors (261962308740).

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

130301022300 is a wasteful number, since it uses less digits than its factorization.

130301022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86792 (or 86785 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 130301022300 its reverse (3220103031), we get a palindrome (133521125331).

The spelling of 130301022300 in words is "one hundred thirty billion, three hundred one million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 173 174 290 300 346 348 435 519 580 692 725 865 870 1038 1450 1730 1740 2076 2175 2595 2900 3460 4325 4350 5017 5190 8650 8700 10034 10380 12975 15051 17300 20068 25085 25950 30102 50170 51900 60204 75255 86573 100340 125425 150510 173146 250850 259719 301020 346292 376275 432865 501700 519438 752550 865730 1038876 1298595 1505100 1731460 2164325 2510617 2597190 4328650 5021234 5194380 6492975 7531851 8657300 10042468 12553085 12985950 14977129 15063702 25106170 25971900 29954258 30127404 37659255 44931387 50212340 59908516 62765425 74885645 75318510 89862774 125530850 149771290 150637020 179725548 188296275 224656935 251061700 299542580 374428225 376592550 434336741 449313870 748856450 753185100 868673482 898627740 1123284675 1303010223 1497712900 1737346964 2171683705 2246569350 2606020446 4343367410 4493138700 5212040892 6515051115 8686734820 10858418525 13030102230 21716837050 26060204460 32575255575 43433674100 65150511150 130301022300