Search a number
-
+
11144220450 = 2352116754073
BaseRepresentation
bin10100110000011111…
…10100111100100010
31001202122211001111120
422120033310330202
5140310410023300
65041455153110
7543110211426
oct123017647442
931678731446
1011144220450
1147a9692850
1221b0215796
131087a819ac
1477a0d2b86
1545357b3a0
hex2983f4f22

11144220450 has 48 divisors (see below), whose sum is σ = 30150186336. Its totient is φ = 2701628800.

The previous prime is 11144220449. The next prime is 11144220457. The reversal of 11144220450 is 5402244111.

11144220450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11144220450.

It is not an unprimeable number, because it can be changed into a prime (11144220457) by changing a digit.

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, 3375387 + ... + 3378686.

It is an arithmetic number, because the mean of its divisors is an integer number (628128882).

Almost surely, 211144220450 is an apocalyptic number.

11144220450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11144220450 is an abundant number, since it is smaller than the sum of its proper divisors (19005965886).

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

11144220450 is a wasteful number, since it uses less digits than its factorization.

11144220450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754099 (or 6754094 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 11144220450 its reverse (5402244111), we get a palindrome (16546464561).

The spelling of 11144220450 in words is "eleven billion, one hundred forty-four million, two hundred twenty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 6754073 13508146 20262219 33770365 40524438 67540730 74294803 101311095 148589606 168851825 202622190 222884409 337703650 371474015 445768818 506555475 742948030 1013110950 1114422045 1857370075 2228844090 3714740150 5572110225 11144220450