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11222012011000 = 235374734109459
BaseRepresentation
bin1010001101001101010000…
…0010100010000111111000
31110201210222022102101021111
42203103110002202013320
52432330140033323000
635511153211250104
72235522630142450
oct243232402420770
943653868371244
1011222012011000
11363725724a83a
121312a99149934
13635300c0c1bb
142ab210c42d60
15146d9c330cba
hexa34d40a21f8

11222012011000 has 128 divisors (see below), whose sum is σ = 30649396377600. Its totient is φ = 3765684163200.

The previous prime is 11222012010991. The next prime is 11222012011019. The reversal of 11222012011000 is 11021022211.

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, 16725730 + ... + 17383729.

It is an arithmetic number, because the mean of its divisors is an integer number (239448409200).

Almost surely, 211222012011000 is an apocalyptic number.

11222012011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222012011000 is an abundant number, since it is smaller than the sum of its proper divisors (19427384366600).

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

11222012011000 is a wasteful number, since it uses less digits than its factorization.

11222012011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34109534 (or 34109520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11222012011000 its reverse (11021022211), we get a palindrome (11233033033211).

The spelling of 11222012011000 in words is "eleven trillion, two hundred twenty-two billion, twelve million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 47 50 56 70 94 100 125 140 175 188 200 235 250 280 329 350 376 470 500 658 700 875 940 1000 1175 1316 1400 1645 1750 1880 2350 2632 3290 3500 4700 5875 6580 7000 8225 9400 11750 13160 16450 23500 32900 41125 47000 65800 82250 164500 329000 34109459 68218918 136437836 170547295 238766213 272875672 341094590 477532426 682189180 852736475 955064852 1193831065 1364378360 1603144573 1705472950 1910129704 2387662130 3206289146 3410945900 4263682375 4775324260 5969155325 6412578292 6821891800 8015722865 8527364750 9550648520 11222012011 11938310650 12825156584 16031445730 17054729500 22444024022 23876621300 29845776625 32062891460 34109459000 40078614325 44888048044 47753242600 56110060055 59691553250 64125782920 80157228650 89776096088 112220120110 119383106500 160314457300 200393071625 224440240220 238766213000 280550300275 320628914600 400786143250 448880480440 561100600550 801572286500 1122201201100 1402751501375 1603144573000 2244402402200 2805503002750 5611006005500 11222012011000