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30000222023100 = 22352733074319873
BaseRepresentation
bin1101101001000111110001…
…00100111010110110111100
310221012222211001110200220220
412310203320210322312330
512413010423314214400
6143445524533541340
76214305316506660
oct664437044726674
9127188731420826
1030000222023100
11961702825631a
1234462b17a4850
131398016437774
1475a038a628a0
153705945337a0
hex1b48f893adbc

30000222023100 has 144 divisors (see below), whose sum is σ = 99230754325248. Its totient is φ = 6855118479360.

The previous prime is 30000222023087. The next prime is 30000222023137. The reversal of 30000222023100 is 132022200003.

It is a super-2 number, since 2×300002220231002 (a number of 28 digits) contains 22 as substring.

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 30000222023100.

It is a congruent number.

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, 4784764 + ... + 9104636.

It is an arithmetic number, because the mean of its divisors is an integer number (689102460592).

Almost surely, 230000222023100 is an apocalyptic number.

30000222023100 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 30000222023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49615377162624).

30000222023100 is an abundant number, since it is smaller than the sum of its proper divisors (69230532302148).

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

30000222023100 is a wasteful number, since it uses less digits than its factorization.

30000222023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323204 (or 4323197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 30000222023100 its reverse (132022200003), we get a palindrome (30132244223103).

The spelling of 30000222023100 in words is "thirty trillion, two hundred twenty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3307 6614 9921 13228 16535 19842 23149 33070 39684 46298 49605 66140 69447 82675 92596 99210 115745 138894 165350 198420 231490 248025 277788 330700 347235 462980 496050 578725 694470 992100 1157450 1388940 1736175 2314900 3472350 4319873 6944700 8639746 12959619 17279492 21599365 25919238 30239111 43198730 51838476 60478222 64798095 86397460 90717333 107996825 120956444 129596190 151195555 181434666 215993650 259192380 302391110 323990475 362869332 431987300 453586665 604782220 647980950 755977775 907173330 1295961900 1511955550 1814346660 2267933325 3023911100 4535866650 9071733300 14285820011 28571640022 42857460033 57143280044 71429100055 85714920066 100000740077 142858200110 171429840132 200001480154 214287300165 285716400220 300002220231 357145500275 400002960308 428574600330 500003700385 600004440462 714291000550 857149200660 1000007400770 1071436500825 1200008880924 1428582001100 1500011101155 2000014801540 2142873001650 2500018501925 3000022202310 4285746003300 5000037003850 6000044404620 7500055505775 10000074007700 15000111011550 30000222023100