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11222211122000 = 245317437675931
BaseRepresentation
bin1010001101001101111111…
…1010000101001101010000
31110201211111012002021012222
42203103133322011031100
52432331042021401000
635511225043040212
72235530565435134
oct243233772051520
943654435067188
1011222211122000
11363734968588a
121312b33970068
13635333244968
142ab22d4733c4
15146daea61a85
hexa34dfe85350

11222211122000 has 160 divisors (see below), whose sum is σ = 29399679264384. Its totient is φ = 4126579968000.

The previous prime is 11222211121999. The next prime is 11222211122047. The reversal of 11222211122000 is 22111222211.

11222211122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11222211122000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2375966 + ... + 5299965.

Almost surely, 211222211122000 is an apocalyptic number.

11222211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222211122000 is an abundant number, since it is smaller than the sum of its proper divisors (18177468142384).

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

11222211122000 is a wasteful number, since it uses less digits than its factorization.

11222211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7676014 (or 7675998 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11222211122000 its reverse (22111222211), we get a palindrome (11244322344211).

The spelling of 11222211122000 in words is "eleven trillion, two hundred twenty-two billion, two hundred eleven million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 43 50 68 80 85 86 100 125 136 170 172 200 215 250 272 340 344 400 425 430 500 680 688 731 850 860 1000 1075 1360 1462 1700 1720 2000 2125 2150 2924 3400 3440 3655 4250 4300 5375 5848 6800 7310 8500 8600 10750 11696 14620 17000 17200 18275 21500 29240 34000 36550 43000 58480 73100 86000 91375 146200 182750 292400 365500 731000 1462000 7675931 15351862 30703724 38379655 61407448 76759310 122814896 130490827 153518620 191898275 260981654 307037240 330065033 383796550 521963308 614074480 652454135 660130066 767593100 959491375 1043926616 1304908270 1320260132 1535186200 1650325165 1918982750 2087853232 2609816540 2640520264 3070372400 3262270675 3300650330 3837965500 5219633080 5281040528 5611105561 6524541350 6601300660 7675931000 8251625825 10439266160 11222211122 13049082700 13202601320 15351862000 16311353375 16503251650 22444422244 26098165400 26405202640 28055527805 32622706750 33006503300 41258129125 44888844488 52196330800 56111055610 65245413500 66013006600 82516258250 89777688976 112222111220 130490827000 132026013200 140277639025 165032516500 224444222440 260981654000 280555278050 330065033000 448888444880 561110556100 660130066000 701388195125 1122221112200 1402776390250 2244442224400 2805552780500 5611105561000 11222211122000