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1123240400 = 24522808101
BaseRepresentation
bin100001011110011…
…0100100111010000
32220021120112011022
41002330310213100
54300022143100
6303242535012
736556246232
oct10274644720
92807515138
101123240400
11527049157
12274207468
1314b929cb9
14a926c252
1568926e85
hex42f349d0

1123240400 has 30 divisors (see below), whose sum is σ = 2698586022. Its totient is φ = 449296000.

The previous prime is 1123240373. The next prime is 1123240403. The reversal of 1123240400 is 40423211.

It can be written as a sum of positive squares in 3 ways, for example, as 93857344 + 1029383056 = 9688^2 + 32084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123240403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1403651 + ... + 1404450.

Almost surely, 21123240400 is an apocalyptic number.

1123240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123240400 is an abundant number, since it is smaller than the sum of its proper divisors (1575345622).

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

1123240400 is a wasteful number, since it uses less digits than its factorization.

1123240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808119 (or 2808108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1123240400 is about 33514.7788296447. The cubic root of 1123240400 is about 1039.4993892439.

Adding to 1123240400 its reverse (40423211), we get a palindrome (1163663611).

The spelling of 1123240400 in words is "one billion, one hundred twenty-three million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2808101 5616202 11232404 14040505 22464808 28081010 44929616 56162020 70202525 112324040 140405050 224648080 280810100 561620200 1123240400