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2012204100 = 2235219135117
BaseRepresentation
bin111011111101111…
…1100110001000100
312012020022120002210
41313323330301010
513110111012400
6531400303420
7100602311154
oct16773746104
95166276083
102012204100
119429227a5
12481a71b70
13260b5b21a
14151354764
15bb9c3950
hex77efcc44

2012204100 has 72 divisors (see below), whose sum is σ = 5852625408. Its totient is φ = 533763200.

The previous prime is 2012204069. The next prime is 2012204111. The reversal of 2012204100 is 14022102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39742 + ... + 74858.

It is an arithmetic number, because the mean of its divisors is an integer number (81286464).

Almost surely, 22012204100 is an apocalyptic number.

2012204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926312704).

2012204100 is an abundant number, since it is smaller than the sum of its proper divisors (3840421308).

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

2012204100 is a wasteful number, since it uses less digits than its factorization.

2012204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35325 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2012204100 is about 44857.5980186189. The cubic root of 2012204100 is about 1262.4785553329.

Adding to 2012204100 its reverse (14022102), we get a palindrome (2026226202).

The spelling of 2012204100 in words is "two billion, twelve million, two hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 35117 57300 70234 105351 140468 175585 210702 351170 421404 526755 702340 877925 1053510 1755850 2107020 2633775 3511700 5267550 6707347 10535100 13414694 20122041 26829388 33536735 40244082 67073470 80488164 100610205 134146940 167683675 201220410 335367350 402440820 503051025 670734700 1006102050 2012204100