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11020221201220 = 22571118233925391
BaseRepresentation
bin1010000001011101100001…
…0111101011101101000100
31110000112010011102010120221
42200113120113223231010
52421023403111414340
635234341510034124
72215120232435620
oct240273027535504
943015104363527
1011020221201220
113569716631760
12129b961948944
1361c28289a08a
142a154ad9c180
151419dba6b44a
hexa05d85ebb44

11020221201220 has 96 divisors (see below), whose sum is σ = 28868777312256. Its totient is φ = 3432989078400.

The previous prime is 11020221201203. The next prime is 11020221201239. The reversal of 11020221201220 is 2210212202011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11020221201194 and 11020221201203.

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, 844725 + ... + 4770115.

It is an arithmetic number, because the mean of its divisors is an integer number (300716430336).

Almost surely, 211020221201220 is an apocalyptic number.

11020221201220 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 11020221201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14434388656128).

11020221201220 is an abundant number, since it is smaller than the sum of its proper divisors (17848556111036).

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

11020221201220 is a wasteful number, since it uses less digits than its factorization.

11020221201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927241 (or 3927239 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11020221201220 its reverse (2210212202011), we get a palindrome (13230433403231).

The spelling of 11020221201220 in words is "eleven trillion, twenty billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 1823 3646 7292 9115 12761 18230 20053 25522 36460 40106 51044 63805 80212 100265 127610 140371 200530 255220 280742 401060 561484 701855 1403710 2807420 3925391 7850782 15701564 19626955 27477737 39253910 43179301 54955474 78507820 86358602 109910948 137388685 172717204 215896505 274777370 302255107 431793010 549554740 604510214 863586020 1209020428 1511275535 3022551070 6045102140 7155987793 14311975586 28623951172 35779938965 50091914551 71559877930 78715865723 100183829102 143119755860 157431731446 200367658204 250459572755 314863462892 393579328615 500919145510 551011060061 787158657230 1001838291020 1102022120122 1574317314460 2204044240244 2755055300305 5510110600610 11020221201220