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11011122220 = 22572104910711
BaseRepresentation
bin10100100000101000…
…00110010000101100
31001102101100222001111
422100110012100230
5140022321402340
65020342321404
7536602665100
oct122024062054
931371328044
1011011122220
11474054510a
122173729264
13106631cc47
14766567900
15446a39aea
hex29050642c

11011122220 has 72 divisors (see below), whose sum is σ = 26926754400. Its totient is φ = 3771290880.

The previous prime is 11011122217. The next prime is 11011122223. The reversal of 11011122220 is 2222111011.

It is an interprime number because it is at equal distance from previous prime (11011122217) and next prime (11011122223).

It is a self number, because there is not a number n which added to its sum of digits gives 11011122220.

It is not an unprimeable number, because it can be changed into a prime (11011122223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022665 + ... + 1033375.

It is an arithmetic number, because the mean of its divisors is an integer number (373982700).

Almost surely, 211011122220 is an apocalyptic number.

11011122220 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 11011122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463377200).

11011122220 is an abundant number, since it is smaller than the sum of its proper divisors (15915632180).

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

11011122220 is a wasteful number, since it uses less digits than its factorization.

11011122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11774 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11011122220 its reverse (2222111011), we get a palindrome (13233233231).

The spelling of 11011122220 in words is "eleven billion, eleven million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1049 2098 4196 5245 7343 10490 10711 14686 20980 21422 29372 36715 42844 51401 53555 73430 74977 102802 107110 146860 149954 205604 214220 257005 299908 374885 514010 524839 749770 1028020 1049678 1499540 2099356 2624195 5248390 10496780 11235839 22471678 44943356 56179195 78650873 112358390 157301746 224716780 314603492 393254365 550556111 786508730 1101112222 1573017460 2202224444 2752780555 5505561110 11011122220