Search a number
-
+
11113243100 = 2252678918637
BaseRepresentation
bin10100101100110011…
…01010000111011100
31001200111112020120022
422112121222013130
5140224442234400
65034431211312
7542253002441
oct122631520734
931614466508
1011113243100
114793155033
1221a1976b38
131081526bbb
14775d4b9c8
154509acb85
hex29666a1dc

11113243100 has 72 divisors (see below), whose sum is σ = 24752009520. Its totient is φ = 4329515520.

The previous prime is 11113243081. The next prime is 11113243139. The reversal of 11113243100 is 134231111.

11113243100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111132431002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586982 + ... + 605618.

It is an arithmetic number, because the mean of its divisors is an integer number (343777910).

Almost surely, 211113243100 is an apocalyptic number.

11113243100 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 11113243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376004760).

11113243100 is an abundant number, since it is smaller than the sum of its proper divisors (13638766420).

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

11113243100 is a wasteful number, since it uses less digits than its factorization.

11113243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18807 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11113243100 its reverse (134231111), we get a palindrome (11247474211).

The spelling of 11113243100 in words is "eleven billion, one hundred thirteen million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 89 100 134 178 268 335 356 445 670 890 1340 1675 1780 2225 3350 4450 5963 6700 8900 11926 18637 23852 29815 37274 59630 74548 93185 119260 149075 186370 298150 372740 465925 596300 931850 1248679 1658693 1863700 2497358 3317386 4994716 6243395 6634772 8293465 12486790 16586930 24973580 31216975 33173860 41467325 62433950 82934650 111132431 124867900 165869300 222264862 444529724 555662155 1111324310 2222648620 2778310775 5556621550 11113243100