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302300311221220 = 225133121475382009
BaseRepresentation
bin100010010111100001100011…
…0101010100111001111100100
31110122100121221110100010211011
41010233003012222213033210
5304110342014133034340
62550534502404552004
7120450322344314134
oct10457030652471744
91418317843303734
10302300311221220
118835a929805724
1229aa39aa6b2604
13cc8aa490c4250
1454915ad8bcac4
1524e37d14c40ea
hex112f0c6aa73e4

302300311221220 has 144 divisors (see below), whose sum is σ = 706485358197360. Its totient is φ = 108009338388480.

The previous prime is 302300311221217. The next prime is 302300311221247. The reversal of 302300311221220 is 22122113003203.

It can be written as a sum of positive squares in 8 ways, for example, as 172505654244 + 302127805566976 = 415338^2 + 17381824^2 .

It is a junction number, because it is equal to n+sod(n) for n = 302300311221191 and 302300311221200.

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, 3686143576 + ... + 3686225584.

It is an arithmetic number, because the mean of its divisors is an integer number (4906148320815).

Almost surely, 2302300311221220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302300311221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353242679098680).

302300311221220 is an abundant number, since it is smaller than the sum of its proper divisors (404185046976140).

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

302300311221220 is a wasteful number, since it uses less digits than its factorization.

302300311221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96846 (or 96813 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 302300311221220 its reverse (22122113003203), we get a palindrome (324422424224423).

The spelling of 302300311221220 in words is "three hundred two trillion, three hundred billion, three hundred eleven million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 961 1612 1922 2015 3844 4030 4805 8060 9610 12493 14753 19220 24986 29506 49972 59012 62465 73765 82009 124930 147530 164018 191789 249860 295060 328036 383578 410045 457343 767156 820090 914686 958945 1066117 1640180 1829372 1917890 2132234 2286715 2542279 3835780 4264468 4573430 5084558 5330585 5945459 9146860 10169116 10661170 11890918 12711395 14177633 21322340 23781836 25422790 28355266 29727295 33049627 50845580 56710532 59454590 66099254 70888165 78810649 118909180 132198508 141776330 157621298 165248135 184309229 283552660 315242596 330496270 368618458 394053245 660992540 737236916 788106490 921546145 1024538437 1209878777 1576212980 1843092290 2049076874 2419757554 3686184580 4098153748 4839515108 5122692185 6049393885 10245384370 12098787770 15728424101 20490768740 24197575540 31456848202 37506242087 62913696404 75012484174 78642120505 150024968348 157284241010 187531210435 314568482020 375062420870 487581147131 750124841740 975162294262 1162693504697 1950324588524 2325387009394 2437905735655 4650774018788 4875811471310 5813467523485 9751622942620 11626935046970 15115015561061 23253870093940 30230031122122 60460062244244 75575077805305 151150155610610 302300311221220