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200212220102200 = 23522912334373557
BaseRepresentation
bin101101100001011110001010…
…010000100100011000111000
3222020220002201212012020212121
4231201132022100210120320
5202220234111321232300
61545452120230451024
760112566312365605
oct5541361220443070
9866802655166777
10200212220102200
11588805867a9169
121a556577503a74
138793c15217957
143762474a596ac
151822ea525e81a
hexb6178a424638

200212220102200 has 48 divisors (see below), whose sum is σ = 465509408984280. Its totient is φ = 80082135826560.

The previous prime is 200212220102189. The next prime is 200212220102207. The reversal of 200212220102200 is 2201022212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212220102207) 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, 11362179 + ... + 23011378.

Almost surely, 2200212220102200 is an apocalyptic number.

200212220102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220102200 is an abundant number, since it is smaller than the sum of its proper divisors (265297188882080).

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

200212220102200 is a wasteful number, since it uses less digits than its factorization.

200212220102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34402696 (or 34402687 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 200212220102200 its reverse (2201022212002), we get a palindrome (202413242314202).

The spelling of 200212220102200 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 29123 58246 116492 145615 232984 291230 582460 728075 1164920 1456150 2912300 5824600 34373557 68747114 137494228 171867785 274988456 343735570 687471140 859338925 1374942280 1718677850 3437355700 6874711400 1001061100511 2002122201022 4004244402044 5005305502555 8008488804088 10010611005110 20021222010220 25026527512775 40042444020440 50053055025550 100106110051100 200212220102200