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11220121220 = 22571118140253
BaseRepresentation
bin10100111001100010…
…10111011010000100
31001221221122012210012
422130301113122010
5140434322334340
65053210045352
7545021312450
oct123461273204
931857565705
1011220121220
114838514160
122211719858
13109a7082a9
1478620d660
1545a070565
hex29cc57684

11220121220 has 96 divisors (see below), whose sum is σ = 29539351296. Its totient is φ = 3477772800.

The previous prime is 11220121219. The next prime is 11220121249. The reversal of 11220121220 is 2212102211.

It is a super-2 number, since 2×112201212202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11220121195 and 11220121204.

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, 258614 + ... + 298866.

It is an arithmetic number, because the mean of its divisors is an integer number (307701576).

Almost surely, 211220121220 is an apocalyptic number.

11220121220 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 11220121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769675648).

11220121220 is an abundant number, since it is smaller than the sum of its proper divisors (18319230076).

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

11220121220 is a wasteful number, since it uses less digits than its factorization.

11220121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40461 (or 40459 counting only the distinct ones).

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

Adding to 11220121220 its reverse (2212102211), we get a palindrome (13432223431).

The spelling of 11220121220 in words is "eleven billion, two hundred twenty million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 385 724 770 905 1267 1540 1810 1991 2534 3620 3982 5068 6335 7964 9955 12670 13937 19910 25340 27874 39820 40253 55748 69685 80506 139370 161012 201265 278740 281771 402530 442783 563542 805060 885566 1127084 1408855 1771132 2213915 2817710 3099481 4427830 5635420 6198962 7285793 8855660 12397924 14571586 15497405 29143172 30994810 36428965 51000551 61989620 72857930 80143723 102001102 145715860 160287446 204002204 255002755 320574892 400718615 510005510 561006061 801437230 1020011020 1122012122 1602874460 2244024244 2805030305 5610060610 11220121220