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10000222221220 = 22572112393881441
BaseRepresentation
bin1001000110000101101110…
…1100010111001110100100
31022102000022200101021000221
42101201123230113032210
52302320423342034340
633134012204014124
72051330554241500
oct221413354271644
938360280337027
1010000222221220
113206085814120
12115613a231344
1357702b1c2c7a
14268028857300
151251de6db44a
hex9185bb173a4

10000222221220 has 144 divisors (see below), whose sum is σ = 26761455786240. Its totient is φ = 3103909939200.

The previous prime is 10000222221211. The next prime is 10000222221221. The reversal of 10000222221220 is 2212222200001.

It is a junction number, because it is equal to n+sod(n) for n = 10000222221194 and 10000222221203.

It is not an unprimeable number, because it can be changed into a prime (10000222221221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635700 + ... + 4517140.

It is an arithmetic number, because the mean of its divisors is an integer number (185843442960).

Almost surely, 210000222221220 is an apocalyptic number.

10000222221220 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 10000222221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13380727893120).

10000222221220 is an abundant number, since it is smaller than the sum of its proper divisors (16761233565020).

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

10000222221220 is a wasteful number, since it uses less digits than its factorization.

10000222221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881714 (or 3881705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10000222221220 its reverse (2212222200001), we get a palindrome (12212444421221).

The spelling of 10000222221220 in words is "ten trillion, two hundred twenty-two million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 239 245 308 385 478 490 539 770 956 980 1078 1195 1540 1673 2156 2390 2629 2695 3346 4780 5258 5390 6692 8365 10516 10780 11711 13145 16730 18403 23422 26290 33460 36806 46844 52580 58555 73612 92015 117110 128821 184030 234220 257642 368060 515284 644105 1288210 2576420 3881441 7762882 15525764 19407205 27170087 38814410 42695851 54340174 77628820 85391702 108680348 135850435 170783404 190190609 213479255 271700870 298870957 380381218 426958510 543401740 597741914 760762436 853917020 927664399 950953045 1195483828 1494354785 1855328798 1901906090 2092096699 2988709570 3710657596 3803812180 4184193398 4638321995 5977419140 6493650793 8368386796 9276643990 10204308389 10460483495 12987301586 18553287980 20408616778 20920966990 25974603172 32468253965 40817233556 41841933980 45455555551 51021541945 64936507930 71430158723 90911111102 102043083890 129873015860 142860317446 181822222204 204086167780 227277777755 285720634892 357150793615 454555555510 500011111061 714301587230 909111111020 1000022222122 1428603174460 2000044444244 2500055555305 5000111110610 10000222221220