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11022122220 = 22352923472699
BaseRepresentation
bin10100100001111100…
…00011110011101100
31001110011001211012220
422100332003303230
5140033130402340
65021414155340
7540065331054
oct122076036354
931404054186
1011022122220
11474677861a
122177352b50
1310686a1a15
14767bcc564
154479aded0
hex290f83cec

11022122220 has 96 divisors (see below), whose sum is σ = 31951584000. Its totient is φ = 2835619584.

The previous prime is 11022122203. The next prime is 11022122231. The reversal of 11022122220 is 2222122011.

11022122220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022122220.

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 31 ways as a sum of consecutive naturals, for example, 4082431 + ... + 4085129.

It is an arithmetic number, because the mean of its divisors is an integer number (332829000).

Almost surely, 211022122220 is an apocalyptic number.

11022122220 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 11022122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975792000).

11022122220 is an abundant number, since it is smaller than the sum of its proper divisors (20929461780).

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

11022122220 is a wasteful number, since it uses less digits than its factorization.

11022122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087 (or 5085 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11022122220 its reverse (2222122011), we get a palindrome (13244244231).

The spelling of 11022122220 in words is "eleven billion, twenty-two million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 2347 2699 4694 5398 7041 8097 9388 10796 11735 13495 14082 16194 23470 26990 28164 32388 35205 40485 46940 53980 68063 70410 78271 80970 136126 140820 156542 161940 204189 234813 272252 313084 340315 391355 408378 469626 680630 782710 816756 939252 1020945 1174065 1361260 1565420 2041890 2348130 4083780 4696260 6334553 12669106 19003659 25338212 31672765 38007318 63345530 76014636 95018295 126691060 183702037 190036590 367404074 380073180 551106111 734808148 918510185 1102212222 1837020370 2204424444 2755530555 3674040740 5511061110 11022122220