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10222111000100 = 225223193220310453
BaseRepresentation
bin1001010011000000010101…
…0010111000011000100100
31100012020001111021010022102
42110300011102320120210
52314434340404000400
633423550054351232
72103344303605406
oct224600522703044
940166044233272
1010222111000100
11329119a19591a
12119114435b518
13591c302c1cbc
14274a77a06b76
1512ad7961e9d5
hex94c054b8624

10222111000100 has 144 divisors (see below), whose sum is σ = 23279132456832. Its totient is φ = 3888665763840.

The previous prime is 10222111000097. The next prime is 10222111000121. The reversal of 10222111000100 is 100011122201.

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, 977906474 + ... + 977916926.

Almost surely, 210222111000100 is an apocalyptic number.

10222111000100 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 10222111000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11639566228416).

10222111000100 is an abundant number, since it is smaller than the sum of its proper divisors (13057021456732).

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

10222111000100 is a wasteful number, since it uses less digits than its factorization.

10222111000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12886 (or 12879 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10222111000100 its reverse (100011122201), we get a palindrome (10322122122301).

The spelling of 10222111000100 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 193 230 386 460 575 772 965 1150 1930 2203 2300 3860 4406 4439 4825 8812 8878 9650 10453 11015 17756 19300 20906 22030 22195 41812 44060 44390 50669 52265 55075 88780 101338 104530 110150 110975 202676 209060 220300 221950 240419 253345 261325 425179 443900 480838 506690 522650 850358 961676 1013380 1045300 1202095 1266725 1700716 2017429 2125895 2404190 2533450 4034858 4251790 4808380 5066900 6010475 8069716 8503580 9779117 10087145 10629475 12020950 19558234 20174290 21258950 23027959 24041900 39116468 40348580 42517900 46055918 46400867 48895585 50435725 92111836 92801734 97791170 100871450 115139795 185603468 195582340 201742900 230279590 232004335 244477925 460559180 464008670 488955850 529643057 575698975 928017340 977911700 1059286114 1151397950 1160021675 2118572228 2302795900 2320043350 2648215285 4444396087 4640086700 5296430570 8888792174 10592861140 13241076425 17777584348 22221980435 26482152850 44443960870 52964305700 88887921740 102221110001 111109902175 204442220002 222219804350 408884440004 444439608700 511105550005 1022211100010 2044422200020 2555527750025 5111055500050 10222111000100