Search a number
-
+
11201110020 = 22325379164191
BaseRepresentation
bin10100110111010001…
…10110000000000100
31001220121212100022200
422123220312000010
5140414441010040
65051250354500
7544400602302
oct123350660004
931817770280
1011201110020
114828809821
12220728ba30
1310967acc69
147838a1272
15458567630
hex29ba36004

11201110020 has 72 divisors (see below), whose sum is σ = 34066556160. Its totient is φ = 2979063360.

The previous prime is 11201109989. The next prime is 11201110097. The reversal of 11201110020 is 2001110211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11201109984 and 11201110011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13876 + ... + 150315.

Almost surely, 211201110020 is an apocalyptic number.

11201110020 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 11201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033278080).

11201110020 is an abundant number, since it is smaller than the sum of its proper divisors (22865446140).

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

11201110020 is a wasteful number, since it uses less digits than its factorization.

11201110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164585 (or 164580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11201110020 its reverse (2001110211), we get a palindrome (13202220231).

The spelling of 11201110020 in words is "eleven billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 22740 34110 68220 164191 328382 492573 656764 820955 985146 1477719 1641910 1970292 2462865 2955438 3283820 4925730 5910876 7388595 9851460 14777190 29554380 62228389 124456778 186685167 248913556 311141945 373370334 560055501 622283890 746740668 933425835 1120111002 1244567780 1866851670 2240222004 2800277505 3733703340 5600555010 11201110020