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11102221020 = 22351124116977
BaseRepresentation
bin10100101011011111…
…00111001011011100
31001122201210021010010
422111233213023130
5140214132033040
65033355043220
7542060215212
oct122557471334
931581707103
1011102221020
114787a06a80
12219a140510
13107c168067
147746bccb2
1544ea31e80
hex295be72dc

11102221020 has 96 divisors (see below), whose sum is σ = 33931166976. Its totient is φ = 2689945600.

The previous prime is 11102221019. The next prime is 11102221027. The reversal of 11102221020 is 2012220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102220987 and 11102221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102221027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587772 + ... + 1594748.

It is an arithmetic number, because the mean of its divisors is an integer number (353449656).

Almost surely, 211102221020 is an apocalyptic number.

11102221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102221020 is an abundant number, since it is smaller than the sum of its proper divisors (22828945956).

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

11102221020 is a wasteful number, since it uses less digits than its factorization.

11102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9411 (or 9409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11102221020 its reverse (2012220111), we get a palindrome (13114441131).

Subtracting from 11102221020 its reverse (2012220111), we obtain a palindrome (9090000909).

The spelling of 11102221020 in words is "eleven billion, one hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2411 4822 6977 7233 9644 12055 13954 14466 20931 24110 26521 27908 28932 34885 36165 41862 48220 53042 69770 72330 76747 79563 83724 104655 106084 132605 139540 144660 153494 159126 209310 230241 265210 306988 318252 383735 397815 418620 460482 530420 767470 795630 920964 1151205 1534940 1591260 2302410 4604820 16821547 33643094 50464641 67286188 84107735 100929282 168215470 185037017 201858564 252323205 336430940 370074034 504646410 555111051 740148068 925185085 1009292820 1110222102 1850370170 2220444204 2775555255 3700740340 5551110510 11102221020