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200020021221204 = 223229376138447161
BaseRepresentation
bin101101011110101011001010…
…010100000001011101010100
3222020012201122012002110211200
4231132223022110001131110
5202204112000413034304
61545223532413432500
760062653406015022
oct5536531224013524
9866181565073750
10200020021221204
1158807018517158
121a52527849b730
13877ba65186a32
143757040a71712
15181cea6aece39
hexb5eaca501754

200020021221204 has 144 divisors (see below), whose sum is σ = 538053471730320. Its totient is φ = 62532230584320.

The previous prime is 200020021221187. The next prime is 200020021221247. The reversal of 200020021221204 is 402122120020002.

200020021221204 is a `hidden beast` number, since 20 + 0 + 0 + 200 + 21 + 221 + 204 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26869688225604 + 173150332995600 = 5183598^2 + 13158660^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 19455384 + ... + 27902544.

Almost surely, 2200020021221204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200020021221204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269026735865160).

200020021221204 is an abundant number, since it is smaller than the sum of its proper divisors (338033450509116).

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

200020021221204 is a wasteful number, since it uses less digits than its factorization.

200020021221204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8447850 (or 8447845 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200020021221204 its reverse (402122120020002), we get a palindrome (602142141241206).

The spelling of 200020021221204 in words is "two hundred trillion, twenty billion, twenty-one million, two hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 613 666 1044 1073 1226 1332 1839 2146 2452 3219 3678 4292 5517 6438 7356 9657 11034 12876 17777 19314 22068 22681 35554 38628 45362 53331 68043 71108 90724 106662 136086 159993 204129 213324 272172 319986 408258 639972 657749 816516 1315498 1973247 2630996 3946494 5919741 7892988 8447161 11839482 16894322 23678964 25341483 33788644 50682966 76024449 101365932 152048898 244967669 304097796 312544957 489935338 625089914 734903007 937634871 979870676 1250179828 1469806014 1875269742 2204709021 2812904613 2939612028 3750539484 4409418042 5178109693 5625809226 8818836084 9063803753 10356219386 11251618452 15534329079 18127607506 20712438772 27191411259 31068658158 36255215012 46602987237 54382822518 62137316316 81574233777 93205974474 108765645036 150165181097 163148467554 186411948948 191590058641 300330362194 326296935108 383180117282 450495543291 574770175923 600660724388 766360234564 900991086582 1149540351846 1351486629873 1724310527769 1801982173164 2299080703692 2702973259746 3448621055538 5405946519492 5556111700589 6897242111076 11112223401178 16668335101767 22224446802356 33336670203534 50005005305301 66673340407068 100010010610602 200020021221204