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11020222120100 = 22521012257348337
BaseRepresentation
bin1010000001011101100001…
…1011001100000010100100
31110000112010020010211001112
42200113120123030002210
52421023403330320400
635234341541444152
72215120243313564
oct240273033140244
943015106124045
1011020222120100
1135697170aa066
12129b962110658
1361c282b2c3ab
142a154b15ada4
151419dbb9d835
hexa05d86cc0a4

11020222120100 has 72 divisors (see below), whose sum is σ = 24152222653608. Its totient is φ = 4364160768000.

The previous prime is 11020222120081. The next prime is 11020222120121. The reversal of 11020222120100 is 102122202011.

It can be written as a sum of positive squares in 12 ways, for example, as 1033345439296 + 9986876680804 = 1016536^2 + 3160202^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227963132 + ... + 228011468.

Almost surely, 211020222120100 is an apocalyptic number.

11020222120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020222120100 is an abundant number, since it is smaller than the sum of its proper divisors (13132000533508).

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

11020222120100 is a wasteful number, since it uses less digits than its factorization.

11020222120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71025 (or 71018 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020222120100 its reverse (102122202011), we get a palindrome (11122344322111).

The spelling of 11020222120100 in words is "eleven trillion, twenty billion, two hundred twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 22573 45146 48337 90292 96674 112865 193348 225730 241685 451460 483370 564325 966740 1128650 1208425 2257300 2279873 2416850 4559746 4833700 4882037 9119492 9764074 11399365 19528148 22798730 24410185 45597460 48820370 56996825 97640740 113993650 122050925 227987300 244101850 488203700 1091111101 2182222202 4364444404 5455555505 10911111010 21822222020 27277777525 54555555050 109111110100 110202221201 220404442402 440808884804 551011106005 1102022212010 2204044424020 2755055530025 5510111060050 11020222120100