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2100105225 = 34521037089
BaseRepresentation
bin111110100101101…
…0001000000001001
312102100201101210000
41331023101000021
513300111331400
6544220313213
7103020412521
oct17513210011
95370641700
102100105225
11988500159
124a73a2809
13276126a1a
1415ccb6681
15c4588600
hex7d2d1009

2100105225 has 30 divisors (see below), whose sum is σ = 3890124590. Its totient is φ = 1120055040.

The previous prime is 2100105223. The next prime is 2100105317. The reversal of 2100105225 is 5225010012.

It can be written as a sum of positive squares in 3 ways, for example, as 483824016 + 1616281209 = 21996^2 + 40203^2 .

It is not a de Polignac number, because 2100105225 - 21 = 2100105223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100105198 and 2100105207.

It is not an unprimeable number, because it can be changed into a prime (2100105223) 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 29 ways as a sum of consecutive naturals, for example, 516520 + ... + 520569.

Almost surely, 22100105225 is an apocalyptic number.

2100105225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2100105225 is a deficient number, since it is larger than the sum of its proper divisors (1790019365).

2100105225 is a wasteful number, since it uses less digits than its factorization.

2100105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037111 (or 1037097 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2100105225 is about 45826.9050340518. The cubic root of 2100105225 is about 1280.6005533513.

Adding to 2100105225 its reverse (5225010012), we get a palindrome (7325115237).

The spelling of 2100105225 in words is "two billion, one hundred million, one hundred five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 1037089 3111267 5185445 9333801 15556335 25927225 28001403 46669005 77781675 84004209 140007015 233345025 420021045 700035075 2100105225