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2123630226300 = 22352114491433239
BaseRepresentation
bin11110111001110010001…
…110011010101101111100
321112000110102221001202110
4132321302032122231330
5234243143314220200
64303325433454020
7306266352042432
oct36716216325574
97460412831673
102123630226300
11749698999730
122a36a7571310
1312534688282b
1474ad9db2d52
153a391a15b50
hex1ee7239ab7c

2123630226300 has 144 divisors (see below), whose sum is σ = 6717882528000. Its totient is φ = 513672499200.

The previous prime is 2123630226293. The next prime is 2123630226323. The reversal of 2123630226300 is 36220363212.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 765081 + ... + 2198319.

It is an arithmetic number, because the mean of its divisors is an integer number (46651962000).

Almost surely, 22123630226300 is an apocalyptic number.

2123630226300 is a gapful number since it is divisible by the number (20) 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 2123630226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358941264000).

2123630226300 is an abundant number, since it is smaller than the sum of its proper divisors (4594252301700).

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

2123630226300 is a wasteful number, since it uses less digits than its factorization.

2123630226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433716 (or 1433709 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 2123630226300 its reverse (36220363212), we get a palindrome (2159850589512).

The spelling of 2123630226300 in words is "two trillion, one hundred twenty-three billion, six hundred thirty million, two hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 449 550 660 825 898 1100 1347 1650 1796 2245 2694 3300 4490 4939 5388 6735 8980 9878 11225 13470 14817 19756 22450 24695 26940 29634 33675 44900 49390 59268 67350 74085 98780 123475 134700 148170 246950 296340 370425 493900 740850 1433239 1481700 2866478 4299717 5732956 7166195 8599434 14332390 15765629 17198868 21498585 28664780 31531258 35830975 42997170 47296887 63062516 71661950 78828145 85994340 94593774 107492925 143323900 157656290 189187548 214985850 236484435 315312580 394140725 429971700 472968870 643524311 788281450 945937740 1182422175 1287048622 1576562900 1930572933 2364844350 2574097244 3217621555 3861145866 4729688700 6435243110 7078767421 7722291732 9652864665 12870486220 14157534842 16088107775 19305729330 21236302263 28315069684 32176215550 35393837105 38611458660 42472604526 48264323325 64352431100 70787674210 84945209052 96528646650 106181511315 141575348420 176969185525 193057293300 212363022630 353938371050 424726045260 530907556575 707876742100 1061815113150 2123630226300