Search a number
-
+
11110213123300 = 2252199821680027
BaseRepresentation
bin1010000110101100110001…
…0011100111110011100100
31110100010101212002102220001
42201223030103213303210
52424012204024421200
635343543401151044
72224454303236444
oct241531423476344
943303355072801
1011110213123300
1135a38a6735785
1212b5297a8b484
136278c4b21605
142a5a46b96124
1514400734e76a
hexa1acc4e7ce4

11110213123300 has 72 divisors (see below), whose sum is σ = 24259862894400. Its totient is φ = 4416360854400.

The previous prime is 11110213123199. The next prime is 11110213123301. The reversal of 11110213123300 is 332131201111.

11110213123300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11110213123301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15997887 + ... + 16677913.

It is an arithmetic number, because the mean of its divisors is an integer number (336942540200).

Almost surely, 211110213123300 is an apocalyptic number.

11110213123300 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 11110213123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12129931447200).

11110213123300 is an abundant number, since it is smaller than the sum of its proper divisors (13149649771100).

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

11110213123300 is a wasteful number, since it uses less digits than its factorization.

11110213123300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681061 (or 681054 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11110213123300 its reverse (332131201111), we get a palindrome (11442344324411).

The spelling of 11110213123300 in words is "eleven trillion, one hundred ten billion, two hundred thirteen million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 821 995 1642 1990 3284 3980 4105 4975 8210 9950 16420 19900 20525 41050 82100 163379 326758 653516 680027 816895 1360054 1633790 2720108 3267580 3400135 4084475 6800270 8168950 13600540 16337900 17000675 34001350 68002700 135325373 270650746 541301492 558302167 676626865 1116604334 1353253730 2233208668 2706507460 2791510835 3383134325 5583021670 6766268650 11166043340 13532537300 13957554175 27915108350 55830216700 111102131233 222204262466 444408524932 555510656165 1111021312330 2222042624660 2777553280825 5555106561650 11110213123300