Search a number
-
+
11221321320 = 23325112833667
BaseRepresentation
bin10100111001101011…
…11100011001101000
31001222000220012000100
422130311330121220
5140440124240240
65053251505400
7545034441336
oct123465743150
931860805010
1011221321320
114839163880
122211bb8260
13109aa38601
14786442b56
1545a20ae30
hex29cd7c668

11221321320 has 96 divisors (see below), whose sum is σ = 39784698720. Its totient is φ = 2720319360.

The previous prime is 11221321313. The next prime is 11221321327. The reversal of 11221321320 is 2312312211.

11221321320 is a `hidden beast` number, since 1 + 1 + 2 + 21 + 321 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (11221321313) and next prime (11221321327).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11221321293 and 11221321302.

It is not an unprimeable number, because it can be changed into a prime (11221321327) 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, 1412874 + ... + 1420793.

It is an arithmetic number, because the mean of its divisors is an integer number (414423945).

Almost surely, 211221321320 is an apocalyptic number.

11221321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221321320 is an abundant number, since it is smaller than the sum of its proper divisors (28563377400).

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

11221321320 is a wasteful number, since it uses less digits than its factorization.

11221321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833695 (or 2833688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11221321320 its reverse (2312312211), we get a palindrome (13533633531).

The spelling of 11221321320 in words is "eleven billion, two hundred twenty-one million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 2833667 5667334 8501001 11334668 14168335 17002002 22669336 25503003 28336670 31170337 34004004 42505005 51006006 56673340 62340674 68008008 85010010 93511011 102012012 113346680 124681348 127515015 155851685 170020020 187022022 204024024 249362696 255030030 280533033 311703370 340040040 374044044 467555055 510060060 561066066 623406740 748088088 935110110 1020120120 1122132132 1246813480 1402665165 1870220220 2244264264 2805330330 3740440440 5610660660 11221321320