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2105434120 = 23552635853
BaseRepresentation
bin111110101111110…
…0110000000001000
312102201202010122111
41331133212000020
513302442342440
6544530432104
7103113615616
oct17537460010
95381663574
102105434120
1199050a8a9
124a9132634
1327727140a
1415d8a26b6
15c4c8c4ea
hex7d7e6008

2105434120 has 16 divisors (see below), whose sum is σ = 4737226860. Its totient is φ = 842173632.

The previous prime is 2105434117. The next prime is 2105434147. The reversal of 2105434120 is 214345012.

It can be written as a sum of positive squares in 2 ways, for example, as 2038161316 + 67272804 = 45146^2 + 8202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2105434091 and 2105434100.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26317887 + ... + 26317966.

Almost surely, 22105434120 is an apocalyptic number.

2105434120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105434120 is an abundant number, since it is smaller than the sum of its proper divisors (2631792740).

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

2105434120 is a wasteful number, since it uses less digits than its factorization.

2105434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52635864 (or 52635860 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2105434120 is about 45885.0097526414. The cubic root of 2105434120 is about 1281.6827883327.

Adding to 2105434120 its reverse (214345012), we get a palindrome (2319779132).

The spelling of 2105434120 in words is "two billion, one hundred five million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 52635853 105271706 210543412 263179265 421086824 526358530 1052717060 2105434120