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4212003330200 = 2352198429131501
BaseRepresentation
bin111101010010101110111…
…101100101100010011000
3112220122220202100201221202
4331102232331211202120
51023002140323031300
612542545001053332
7613210240403651
oct75225675454230
915818822321852
104212003330200
111384334089476
12580393487248
13247261b77153
14107c0d668528
157486d10bad5
hex3d4aef65898

4212003330200 has 96 divisors (see below), whose sum is σ = 10309625298000. Its totient is φ = 1595926080000.

The previous prime is 4212003330149. The next prime is 4212003330221. The reversal of 4212003330200 is 20333002124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31964450 + ... + 32095950.

Almost surely, 24212003330200 is an apocalyptic number.

4212003330200 is a gapful number since it is divisible by the number (40) 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 4212003330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154812649000).

4212003330200 is an abundant number, since it is smaller than the sum of its proper divisors (6097621967800).

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

4212003330200 is a wasteful number, since it uses less digits than its factorization.

4212003330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139965 (or 139956 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 4212003330200 its reverse (20333002124), we get a palindrome (4232336332324).

The spelling of 4212003330200 in words is "four trillion, two hundred twelve billion, three million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 8429 16858 33716 42145 67432 84290 131501 160151 168580 210725 263002 320302 337160 421450 526004 640604 657505 800755 842900 1052008 1281208 1315010 1601510 1685800 2498519 2630020 3203020 3287525 4003775 4997038 5260040 6406040 6575050 8007550 9994076 12492595 13150100 16015100 19988152 24985190 26300200 32030200 49970380 62462975 99940760 124925950 249851900 499703800 1108421929 2216843858 4433687716 5542109645 8867375432 11084219290 21060016651 22168438580 27710548225 42120033302 44336877160 55421096450 84240066604 105300083255 110842192900 168480133208 210600166510 221684385800 421200333020 526500416275 842400666040 1053000832550 2106001665100 4212003330200