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11222202000100 = 22527137117369141
BaseRepresentation
bin1010001101001101111101…
…0111010010001011100100
31110201211110112220211022211
42203103133113102023210
52432331032203000400
635511224115333204
72235530425053520
oct243233727221344
943654415824284
1011222202000100
113637344515423
121312b308b1204
1363533139c9a0
142ab22c17ad80
15146dadd5ddba
hexa34df5d22e4

11222202000100 has 144 divisors (see below), whose sum is σ = 30394053156096. Its totient is φ = 3501618624000.

The previous prime is 11222202000091. The next prime is 11222202000137. The reversal of 11222202000100 is 100020222211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8038471 + ... + 9330670.

It is an arithmetic number, because the mean of its divisors is an integer number (211069813584).

Almost surely, 211222202000100 is an apocalyptic number.

11222202000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222202000100 is an abundant number, since it is smaller than the sum of its proper divisors (19171851155996).

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

11222202000100 is a wasteful number, since it uses less digits than its factorization.

11222202000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369246 (or 17369239 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11222202000100 its reverse (100020222211), we get a palindrome (11322222222311).

The spelling of 11222202000100 in words is "eleven trillion, two hundred twenty-two billion, two hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 71 91 100 130 140 142 175 182 260 284 325 350 355 364 455 497 650 700 710 910 923 994 1300 1420 1775 1820 1846 1988 2275 2485 3550 3692 4550 4615 4970 6461 7100 9100 9230 9940 12425 12922 18460 23075 24850 25844 32305 46150 49700 64610 92300 129220 161525 323050 646100 17369141 34738282 69476564 86845705 121583987 173691410 225798833 243167974 347382820 434228525 451597666 486335948 607919935 868457050 903195332 1128994165 1215839870 1233209011 1580591831 1736914100 2257988330 2431679740 2466418022 3039599675 3161183662 4515976660 4932836044 5644970825 6079199350 6166045055 6322367324 7902959155 8632463077 11289941650 12158398700 12332090110 15805918310 16031717143 17264926154 22579883300 24664180220 30830225275 31611836620 32063434286 34529852308 39514795775 43162315385 61660450550 64126868572 79029591550 80158585715 86324630770 112222020001 123320901100 158059183100 160317171430 172649261540 215811576925 224444040002 320634342860 400792928575 431623153850 448888080004 561110100005 801585857150 863246307700 1122220200010 1603171714300 2244440400020 2805550500025 5611101000050 11222202000100