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2221122110020 = 22511531011886047
BaseRepresentation
bin100000010100100101001…
…100011100001001000100
321212100002211002220021121
4200110211030130021010
5242342324230010040
64420211443123324
7316320322266532
oct40244514341104
97770084086247
102221122110020
11786a77587960
122ba575373544
131315b28807a8
1479707cad152
153cb9a96ec4a
hex2052531c244

2221122110020 has 96 divisors (see below), whose sum is σ = 5235729601536. Its totient is φ = 784595136000.

The previous prime is 2221122110017. The next prime is 2221122110033. The reversal of 2221122110020 is 200112211222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2221122109976 and 2221122110003.

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, 234637 + ... + 2120683.

It is an arithmetic number, because the mean of its divisors is an integer number (54538850016).

Almost surely, 22221122110020 is an apocalyptic number.

2221122110020 is a gapful number since it is divisible by the number (20) 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 2221122110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617864800768).

2221122110020 is an abundant number, since it is smaller than the sum of its proper divisors (3014607491516).

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

2221122110020 is a wasteful number, since it uses less digits than its factorization.

2221122110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886221 (or 1886219 counting only the distinct ones).

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

Adding to 2221122110020 its reverse (200112211222), we get a palindrome (2421234321242).

The spelling of 2221122110020 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 101 106 110 202 212 220 265 404 505 530 583 1010 1060 1111 1166 2020 2222 2332 2915 4444 5353 5555 5830 10706 11110 11660 21412 22220 26765 53530 58883 107060 117766 235532 294415 588830 1177660 1886047 3772094 7544188 9430235 18860470 20746517 37720940 41493034 82986068 99960491 103732585 190490747 199920982 207465170 380981494 399841964 414930340 499802455 761962988 952453735 999604910 1099565401 1904907470 1999209820 2095398217 2199130802 3809814940 4190796434 4398261604 5497827005 8381592868 10096009591 10476991085 10995654010 20192019182 20953982170 21991308020 40384038364 41907964340 50480047955 100960095910 111056105501 201920191820 222112211002 444224422004 555280527505 1110561055010 2221122110020