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11221320 = 2335118501
BaseRepresentation
bin101010110011…
…100101001000
3210010002202110
4222303211020
510333040240
61040302320
7164244135
oct52634510
923102673
1011221320
116374820
1239119a0
13242b746
1416c158c
15eb9c80
hexab3948

11221320 has 64 divisors (see below), whose sum is σ = 36728640. Its totient is φ = 2720000.

The previous prime is 11221307. The next prime is 11221333. The reversal of 11221320 is 2312211.

It is an interprime number because it is at equal distance from previous prime (11221307) and next prime (11221333).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11221296 and 11221305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2931 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (573885).

Almost surely, 211221320 is an apocalyptic number.

11221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221320 is an abundant number, since it is smaller than the sum of its proper divisors (25507320).

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

11221320 is a wasteful number, since it uses less digits than its factorization.

11221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11221320 is about 3349.8238759672. The cubic root of 11221320 is about 223.8796653839.

Adding to 11221320 its reverse (2312211), we get a palindrome (13533531).

It can be divided in two parts, 1122 and 1320, that added together give a palindrome (2442).

The spelling of 11221320 in words is "eleven million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8501 17002 25503 34004 42505 51006 68008 85010 93511 102012 127515 170020 187022 204024 255030 280533 340040 374044 467555 510060 561066 748088 935110 1020120 1122132 1402665 1870220 2244264 2805330 3740440 5610660 11221320