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11101222011220 = 225111012333214147
BaseRepresentation
bin1010000110001011010001…
…1001010000000101010100
31110022021012020201121210221
42201202310121100011110
52423340300313324340
635335455254324124
72224015426113625
oct241426431200524
943267166647727
1011101222011220
1135a0002465140
1212b35a8959644
13626ac1163953
142a5432a15a4c
15143b7cd2b44a
hexa18b4650154

11101222011220 has 96 divisors (see below), whose sum is σ = 25694820176256. Its totient is φ = 3995107776000.

The previous prime is 11101222011199. The next prime is 11101222011223. The reversal of 11101222011220 is 2211022210111.

It is a junction number, because it is equal to n+sod(n) for n = 11101222011194 and 11101222011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101222011223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51732187 + ... + 51946333.

It is an arithmetic number, because the mean of its divisors is an integer number (267654376836).

Almost surely, 211101222011220 is an apocalyptic number.

11101222011220 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 11101222011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847410088128).

11101222011220 is an abundant number, since it is smaller than the sum of its proper divisors (14593598165036).

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

11101222011220 is a wasteful number, since it uses less digits than its factorization.

11101222011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216601 (or 216599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11101222011220 its reverse (2211022210111), we get a palindrome (13312244221331).

The spelling of 11101222011220 in words is "eleven trillion, one hundred one billion, two hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 2333 4444 4666 5555 9332 11110 11665 22220 23330 25663 46660 51326 102652 128315 214147 235633 256630 428294 471266 513260 856588 942532 1070735 1178165 2141470 2355617 2356330 2591963 4282940 4711234 4712660 5183926 9422468 10367852 11778085 12959815 21628847 23556170 25919630 43257694 47112340 51839260 86515388 108144235 216288470 237917317 432576940 475834634 499604951 951669268 999209902 1189586585 1998419804 2379173170 2498024755 4758346340 4996049510 5495654461 9992099020 10991308922 21982617844 27478272305 50460100051 54956544610 100920200102 109913089220 201840400204 252300500255 504601000510 555061100561 1009202001020 1110122201122 2220244402244 2775305502805 5550611005610 11101222011220