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1113224321 = 11227773313
BaseRepresentation
bin100001001011010…
…0111010010000001
32212120201122200102
41002112213102001
54234441134241
6302244132145
736405151646
oct10226472201
92776648612
101113224321
11521427a00
12270997055
13149831021
14a7bc1dcd
1567ae939b
hex425a7481

1113224321 has 12 divisors (see below), whose sum is σ = 1224436836. Its totient is φ = 1011352320.

The previous prime is 1113224293. The next prime is 1113224327. The reversal of 1113224321 is 1234223111.

It can be written as a sum of positive squares in 2 ways, for example, as 626801296 + 486423025 = 25036^2 + 22055^2 .

It is not a de Polignac number, because 1113224321 - 26 = 1113224257 is a prime.

It is a super-3 number, since 3×11132243213 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1113224293 and 1113224302.

It is not an unprimeable number, because it can be changed into a prime (1113224327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334361 + ... + 337673.

It is an arithmetic number, because the mean of its divisors is an integer number (102036403).

Almost surely, 21113224321 is an apocalyptic number.

1113224321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1113224321 is a deficient number, since it is larger than the sum of its proper divisors (111212515).

1113224321 is a wasteful number, since it uses less digits than its factorization.

1113224321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6112 (or 6101 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 1113224321 is about 33365.0164243928. The cubic root of 1113224321 is about 1036.4003762615.

Adding to 1113224321 its reverse (1234223111), we get a palindrome (2347447432).

It can be divided in two parts, 11132 and 24321, that added together give a palindrome (35453).

The spelling of 1113224321 in words is "one billion, one hundred thirteen million, two hundred twenty-four thousand, three hundred twenty-one".

Divisors: 1 11 121 2777 3313 30547 36443 336017 400873 9200201 101202211 1113224321