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200201012200 = 23527243758679
BaseRepresentation
bin1011101001110011101…
…0010000001111101000
3201010202100112011101201
42322130322100033220
511240002424342300
6231545430253544
720315111345260
oct2723472201750
9633670464351
10200201012200
11779a5285692
1232972ab72b4
1315b56b6c0c7
149992a887a0
15531ae2d66a
hex2e9ce903e8

200201012200 has 96 divisors (see below), whose sum is σ = 532190044800. Its totient is φ = 68611011840.

The previous prime is 200201012161. The next prime is 200201012233. The reversal of 200201012200 is 2210102002.

200201012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3382461 + ... + 3441139.

It is an arithmetic number, because the mean of its divisors is an integer number (5543646300).

Almost surely, 2200201012200 is an apocalyptic number.

200201012200 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 200201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266095022400).

200201012200 is an abundant number, since it is smaller than the sum of its proper divisors (331989032600).

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

200201012200 is a wasteful number, since it uses less digits than its factorization.

200201012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61139 (or 61130 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200201012200 its reverse (2210102002), we get a palindrome (202411114202).

The spelling of 200201012200 in words is "two hundred billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2437 4874 9748 12185 17059 19496 24370 34118 48740 58679 60925 68236 85295 97480 117358 121850 136472 170590 234716 243700 293395 341180 410753 426475 469432 487400 586790 682360 821506 852950 1173580 1466975 1643012 1705900 2053765 2347160 2933950 3286024 3411800 4107530 5867900 8215060 10268825 11735800 16430120 20537650 41075300 82150600 143000723 286001446 572002892 715003615 1001005061 1144005784 1430007230 2002010122 2860014460 3575018075 4004020244 5005025305 5720028920 7150036150 8008040488 10010050610 14300072300 20020101220 25025126525 28600144600 40040202440 50050253050 100100506100 200201012200