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2100113424 = 243214584121
BaseRepresentation
bin111110100101101…
…0011000000010000
312102100201211000200
41331023103000100
513300112112144
6544220415200
7103020445443
oct17513230020
95370654020
102100113424
11988506332
124a73a7500
1327612a686
1415ccb965a
15c458ac69
hex7d2d3010

2100113424 has 30 divisors (see below), whose sum is σ = 5877401166. Its totient is φ = 700037760.

The previous prime is 2100113423. The next prime is 2100113467. The reversal of 2100113424 is 4243110012.

It can be written as a sum of positive squares in only one way, i.e., 1664640000 + 435473424 = 40800^2 + 20868^2 .

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 = 2100113397 and 2100113406.

It is not an unprimeable number, because it can be changed into a prime (2100113423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7291917 + ... + 7292204.

Almost surely, 22100113424 is an apocalyptic number.

2100113424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2100113424 is an abundant number, since it is smaller than the sum of its proper divisors (3777287742).

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

2100113424 is a wasteful number, since it uses less digits than its factorization.

2100113424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14584135 (or 14584126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2100113424 is about 45826.9944901474. The cubic root of 2100113424 is about 1280.6022198758.

Adding to 2100113424 its reverse (4243110012), we get a palindrome (6343223436).

The spelling of 2100113424 in words is "two billion, one hundred million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14584121 29168242 43752363 58336484 87504726 116672968 131257089 175009452 233345936 262514178 350018904 525028356 700037808 1050056712 2100113424