Search a number
-
+
11201122020 = 223511163104119
BaseRepresentation
bin10100110111010001…
…11000111011100100
31001220121212221210010
422123220320323210
5140414441401040
65051250530220
7544400652264
oct123350707344
931817787703
1011201122020
114828817840
122207296970
1310967b556a
147838a57a4
1545856ae80
hex29ba38ee4

11201122020 has 96 divisors (see below), whose sum is σ = 34424570880. Its totient is φ = 2698738560.

The previous prime is 11201122001. The next prime is 11201122021. The reversal of 11201122020 is 2022110211.

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 = 11201121987 and 11201122005.

It is not an unprimeable number, because it can be changed into a prime (11201122021) 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, 55521 + ... + 159639.

It is an arithmetic number, because the mean of its divisors is an integer number (358589280).

Almost surely, 211201122020 is an apocalyptic number.

11201122020 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 11201122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212285440).

11201122020 is an abundant number, since it is smaller than the sum of its proper divisors (23223448860).

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

11201122020 is a wasteful number, since it uses less digits than its factorization.

11201122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104305 (or 104303 counting only the distinct ones).

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

Adding to 11201122020 its reverse (2022110211), we get a palindrome (13223232231).

The spelling of 11201122020 in words is "eleven billion, two hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 163 165 220 326 330 489 652 660 815 978 1630 1793 1956 2445 3260 3586 4890 5379 7172 8965 9780 10758 17930 21516 26895 35860 53790 104119 107580 208238 312357 416476 520595 624714 1041190 1145309 1249428 1561785 2082380 2290618 3123570 3435927 4581236 5726545 6247140 6871854 11453090 13743708 16971397 17179635 22906180 33942794 34359270 50914191 67885588 68718540 84856985 101828382 169713970 186685367 203656764 254570955 339427940 373370734 509141910 560056101 746741468 933426835 1018283820 1120112202 1866853670 2240224404 2800280505 3733707340 5600561010 11201122020