Search a number
-
+
11201022020 = 225897618269
BaseRepresentation
bin10100110111010001…
…00000100001000100
31001220121200212121102
422123220200201010
5140414430201040
65051244435232
7544400054606
oct123350404104
931817625542
1011201022020
1148287596a1
122207248b18
13109677bba6
1478387b176
1545854b515
hex29ba20844

11201022020 has 48 divisors (see below), whose sum is σ = 23820577200. Its totient is φ = 4423710720.

The previous prime is 11201022017. The next prime is 11201022037. The reversal of 11201022020 is 2022010211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1350856516 + 9850165504 = 36754^2 + 99248^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11201021992 and 11201022010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350446 + ... + 1358714.

It is an arithmetic number, because the mean of its divisors is an integer number (496262025).

Almost surely, 211201022020 is an apocalyptic number.

11201022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201022020 is an abundant number, since it is smaller than the sum of its proper divisors (12619555180).

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

11201022020 is a wasteful number, since it uses less digits than its factorization.

11201022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9128 (or 9126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11201022020 its reverse (2022010211), we get a palindrome (13223032231).

The spelling of 11201022020 in words is "eleven billion, two hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 761 890 1522 1780 3044 3805 7610 8269 15220 16538 33076 41345 67729 82690 135458 165380 270916 338645 677290 735941 1354580 1471882 2943764 3679705 6292709 7359410 12585418 14718820 25170836 31463545 62927090 125854180 560051101 1120102202 2240204404 2800255505 5600511010 11201022020