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200012212122210 = 23458211051286171
BaseRepresentation
bin101101011110100011111000…
…110110101011001001100010
3222020011222110221220010220000
4231132203320312223021202
5202204000002300402320
61545220201453400430
760062256033534405
oct5536437066531142
9866158427803800
10200012212122210
1158803780487534
121a523859199116
13877b0bc3634b7
1437568dd89bd3c
15181cb9b260c90
hexb5e8f8dab262

200012212122210 has 160 divisors (see below), whose sum is σ = 538979902490304. Its totient is φ = 53220751920000.

The previous prime is 200012212122187. The next prime is 200012212122241. The reversal of 200012212122210 is 12221212210002.

It is a happy number.

200012212122210 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 221 + 212 + 2 + 210 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 698782425 + ... + 699068595.

Almost surely, 2200012212122210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200012212122210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269489951245152).

200012212122210 is an abundant number, since it is smaller than the sum of its proper divisors (338967690368094).

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

200012212122210 is a wasteful number, since it uses less digits than its factorization.

200012212122210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288062 (or 288053 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200012212122210 its reverse (12221212210002), we get a palindrome (212233424332212).

The spelling of 200012212122210 in words is "two hundred trillion, twelve billion, two hundred twelve million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 821 1051 1642 2102 2463 3153 4105 4926 5255 6306 7389 8210 9459 10510 12315 14778 15765 18918 22167 24630 28377 31530 36945 44334 47295 56754 66501 73890 85131 94590 110835 133002 141885 170262 221670 283770 286171 332505 425655 572342 665010 851310 858513 862871 1430855 1717026 1725742 2575539 2588613 2861710 4292565 4314355 5151078 5177226 7726617 7765839 8585130 8628710 12877695 12943065 15453234 15531678 23179851 23297517 25755390 25886130 38633085 38829195 46359702 46595034 69892551 77266170 77658390 115899255 116487585 139785102 231798510 232975170 234946391 300765721 349462755 469892782 601531442 698925510 704839173 902297163 1174731955 1409678346 1503828605 1804594326 2114517519 2349463910 2706891489 3007657210 3524195865 4229035038 4511485815 5413782978 6343552557 7048391730 8120674467 9022971630 10572587595 12687105114 13534457445 16241348934 19030657671 21145175190 24362023401 27068914890 31717762785 38061315342 40603372335 48724046802 63435525570 81206744670 95153288355 121810117005 190306576710 243620234010 246928656941 493857313882 740785970823 1234643284705 1481571941646 2222357912469 2469286569410 3703929854115 4444715824938 6667073737407 7407859708230 11111789562345 13334147474814 20001221212221 22223579124690 33335368687035 40002442424442 66670737374070 100006106061105 200012212122210