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2012200100 = 225222987869
BaseRepresentation
bin111011111101111…
…1011110010100100
312012020022100121122
41313323323302210
513110110400400
6531400233112
7100602263411
oct16773736244
95166270548
102012200100
1194291a799
12481a6b798
13260b59461
14151353108
15bb9c2685
hex77efbca4

2012200100 has 36 divisors (see below), whose sum is σ = 4385591700. Its totient is φ = 801356160.

The previous prime is 2012200097. The next prime is 2012200109. The reversal of 2012200100 is 10022102.

It can be written as a sum of positive squares in 6 ways, for example, as 58736896 + 1953463204 = 7664^2 + 44198^2 .

It is not an unprimeable number, because it can be changed into a prime (2012200109) 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, 21035 + ... + 66834.

Almost surely, 22012200100 is an apocalyptic number.

2012200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012200100 is an abundant number, since it is smaller than the sum of its proper divisors (2373391600).

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

2012200100 is a wasteful number, since it uses less digits than its factorization.

2012200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88112 (or 88105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2012200100 is about 44857.5534330619. The cubic root of 2012200100 is about 1262.4777187846.

Adding to 2012200100 its reverse (10022102), we get a palindrome (2022222202).

The spelling of 2012200100 in words is "two billion, twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 87869 175738 351476 439345 878690 1757380 2196725 4393450 8786900 20122001 40244002 80488004 100610005 201220010 402440020 503050025 1006100050 2012200100