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11220000222020 = 2251722966937121
BaseRepresentation
bin1010001101000101110000…
…1000001010101101000100
31110201121210002212220121112
42203101130020022231010
52432312030024101040
635510221423504152
72235422031210452
oct243213410125504
943647702786545
1011220000222020
113636414690a17
121312617458058
13635070197c15
142ab09d9999d2
15146cd08e0365
hexa345c20ab44

11220000222020 has 72 divisors (see below), whose sum is σ = 25892617532040. Its totient is φ = 4078344847360.

The previous prime is 11220000222017. The next prime is 11220000222059. The reversal of 11220000222020 is 2022200002211.

It can be written as a sum of positive squares in 12 ways, for example, as 325828622596 + 10894171599424 = 570814^2 + 3300632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11220000221986 and 11220000222004.

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, 33300941 + ... + 33636180.

It is an arithmetic number, because the mean of its divisors is an integer number (359619687945).

Almost surely, 211220000222020 is an apocalyptic number.

11220000222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220000222020 is an abundant number, since it is smaller than the sum of its proper divisors (14672617310020).

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

11220000222020 is a wasteful number, since it uses less digits than its factorization.

11220000222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66937193 (or 66937174 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11220000222020 its reverse (2022200002211), we get a palindrome (13242200224231).

The spelling of 11220000222020 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 289 290 340 493 578 580 986 1156 1445 1972 2465 2890 4930 5780 8381 9860 16762 33524 41905 83810 167620 66937121 133874242 267748484 334685605 669371210 1137931057 1338742420 1941176509 2275862114 3882353018 4551724228 5689655285 7764706036 9705882545 11379310570 19344827969 19411765090 22758621140 33000000653 38689655938 38823530180 66000001306 77379311876 96724139845 132000002612 165000003265 193448279690 330000006530 386896559380 561000011101 660000013060 1122000022202 2244000044404 2805000055505 5610000111010 11220000222020