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200200010201200 = 24523126177616769
BaseRepresentation
bin101101100001010010110010…
…011111011111100001110000
3222020211221012221010000111001
4231201102302133133201300
5202220034110102414300
61545442340502131344
760111654612056602
oct5541226237374160
9866757187100431
10200200010201200
1158876390611899
121a55412a420b54
138792a1a740369
143761a371dd172
1518229dd37b16a
hexb614b27df870

200200010201200 has 120 divisors (see below), whose sum is σ = 496515797205120. Its totient is φ = 77493692006400.

The previous prime is 200200010201171. The next prime is 200200010201227. The reversal of 200200010201200 is 2102010002002.

200200010201200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002000102012003 (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324286416 + ... + 324903184.

It is an arithmetic number, because the mean of its divisors is an integer number (4137631643376).

Almost surely, 2200200010201200 is an apocalyptic number.

200200010201200 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 200200010201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248257898602560).

200200010201200 is an abundant number, since it is smaller than the sum of its proper divisors (296315787003920).

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

200200010201200 is a wasteful number, since it uses less digits than its factorization.

200200010201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642995 (or 642984 counting only the distinct ones).

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

Adding to 200200010201200 its reverse (2102010002002), we get a palindrome (202302020203202).

The spelling of 200200010201200 in words is "two hundred trillion, two hundred billion, ten million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 26177 52354 104708 130885 209416 261770 418832 523540 616769 654425 811487 1047080 1233538 1308850 1622974 2094160 2467076 2617700 3083845 3245948 4057435 4934152 5235400 6167690 6491896 8114870 9868304 10470800 12335380 12983792 15419225 16229740 19119839 20287175 24670760 30838450 32459480 38239678 40574350 49341520 61676900 64918960 76479356 81148700 95599195 123353800 152958712 162297400 191198390 246707600 305917424 324594800 382396780 477995975 764793560 955991950 1529587120 1911983900 3823967800 7647935600 16145162113 32290324226 64580648452 80725810565 129161296904 161451621130 258322593808 322903242260 403629052825 500500025503 645806484520 807258105650 1001000051006 1291612969040 1614516211300 2002000102012 2502500127515 3229032422600 4004000204024 5005000255030 6458064845200 8008000408048 10010000510060 12512500637575 20020001020120 25025001275150 40040002040240 50050002550300 100100005100600 200200010201200