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300000132300 = 2235211349126041
BaseRepresentation
bin1000101110110010110…
…01101011110011001100
31001200100112011202020010
410113121121223303030
514403400013213200
6345452415553220
730450166023141
oct4273131536314
91050315152203
10300000132300
11106258287740
124a18552b810
132239cb76bab
141073d1783c8
157c0c6d8150
hex45d966bccc

300000132300 has 144 divisors (see below), whose sum is σ = 947217124224. Its totient is φ = 72703680000.

The previous prime is 300000132283. The next prime is 300000132329. The reversal of 300000132300 is 3231000003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11507280 + ... + 11533320.

It is an arithmetic number, because the mean of its divisors is an integer number (6577896696).

Almost surely, 2300000132300 is an apocalyptic number.

300000132300 is a gapful number since it is divisible by the number (30) 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 300000132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473608562112).

300000132300 is an abundant number, since it is smaller than the sum of its proper divisors (647216991924).

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

300000132300 is a wasteful number, since it uses less digits than its factorization.

300000132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29560 (or 29553 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 300000132300 its reverse (3231000003), we get a palindrome (303231132303).

The spelling of 300000132300 in words is "three hundred billion, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3491 6982 10473 13964 17455 20946 26041 34910 38401 41892 52082 52365 69820 76802 78123 87275 104164 104730 115203 130205 153604 156246 174550 192005 209460 230406 260410 261825 286451 312492 349100 384010 390615 460812 520820 523650 572902 576015 651025 768020 781230 859353 960025 1047300 1145804 1152030 1302050 1432255 1562460 1718706 1920050 1953075 2304060 2604100 2864510 2880075 3437412 3840100 3906150 4296765 5729020 5760150 7161275 7812300 8593530 11520300 14322550 17187060 21483825 28645100 42967650 85935300 90909131 181818262 272727393 363636524 454545655 545454786 909091310 1000000441 1090909572 1363636965 1818182620 2000000882 2272728275 2727273930 3000001323 4000001764 4545456550 5000002205 5454547860 6000002646 6818184825 9090913100 10000004410 12000005292 13636369650 15000006615 20000008820 25000011025 27272739300 30000013230 50000022050 60000026460 75000033075 100000044100 150000066150 300000132300