Search a number
-
+
11201111020 = 2251189572069
BaseRepresentation
bin10100110111010001…
…10110001111101100
31001220121212101200201
422123220312033230
5140414441023040
65051250403244
7544400605231
oct123350661754
931817771621
1011201111020
11482880a550
122207290524
1310967b0558
147838a1788
15458567a9a
hex29ba363ec

11201111020 has 48 divisors (see below), whose sum is σ = 25949095200. Its totient is φ = 4027358720.

The previous prime is 11201110967. The next prime is 11201111029. The reversal of 11201111020 is 2011110211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11201110988 and 11201111006.

It is not an unprimeable number, because it can be changed into a prime (11201111029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266455 + ... + 305614.

It is an arithmetic number, because the mean of its divisors is an integer number (540606150).

Almost surely, 211201111020 is an apocalyptic number.

11201111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201111020 is an abundant number, since it is smaller than the sum of its proper divisors (14747984180).

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

11201111020 is a wasteful number, since it uses less digits than its factorization.

11201111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572178 (or 572176 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11201111020 its reverse (2011110211), we get a palindrome (13212221231).

It can be divided in two parts, 11201 and 111020, that added together give a palindrome (122221).

The spelling of 11201111020 in words is "eleven billion, two hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1780 1958 3916 4895 9790 19580 572069 1144138 2288276 2860345 5720690 6292759 11441380 12585518 25171036 31463795 50914141 62927590 101828282 125855180 203656564 254570705 509141410 560055551 1018282820 1120111102 2240222204 2800277755 5600555510 11201111020