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11113224144 = 2431144946877
BaseRepresentation
bin10100101100110011…
…00101011111010000
31001200111111021120020
422112121211133100
5140224441133034
65034430543440
7542252563251
oct122631453720
931614437506
1011113224144
114793141870
1221a1967b80
13108151b399
14775d44b28
154509a7249
hex2966657d0

11113224144 has 80 divisors (see below), whose sum is σ = 31389508800. Its totient is φ = 3360071680.

The previous prime is 11113224121. The next prime is 11113224163. The reversal of 11113224144 is 44142231111.

It is a happy number.

11113224144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 213634 + ... + 260510.

It is an arithmetic number, because the mean of its divisors is an integer number (392368860).

Almost surely, 211113224144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15694754400).

11113224144 is an abundant number, since it is smaller than the sum of its proper divisors (20276284656).

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

11113224144 is a wasteful number, since it uses less digits than its factorization.

11113224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47348 (or 47342 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11113224144 its reverse (44142231111), we get a palindrome (55255455255).

The spelling of 11113224144 in words is "eleven billion, one hundred thirteen million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 449 528 898 1347 1796 2694 3592 4939 5388 7184 9878 10776 14817 19756 21552 29634 39512 46877 59268 79024 93754 118536 140631 187508 237072 281262 375016 515647 562524 750032 1031294 1125048 1546941 2062588 2250096 3093882 4125176 6187764 8250352 12375528 21047773 24751056 42095546 63143319 84191092 126286638 168382184 231525503 252573276 336764368 463051006 505146552 694576509 926102012 1010293104 1389153018 1852204024 2778306036 3704408048 5556612072 11113224144