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200000100001200 = 24352251861661741
BaseRepresentation
bin101101011110011000100110…
…111010100110010110110000
3222020010211012211210122102120
4231132120212322212112300
5202203300201100014300
61545210435540514240
760061346631313302
oct5536304672462660
9866124184718376
10200000100001200
11587a9625505774
121a5214389ab980
138779c0bc030a5
1437560b1015972
15181c6dcc443a0
hexb5e626ea65b0

200000100001200 has 120 divisors (see below), whose sum is σ = 640670498893776. Its totient is φ = 53333067648000.

The previous prime is 200000100001153. The next prime is 200000100001231. The reversal of 200000100001200 is 2100001000002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 301902330 + ... + 302564070.

Almost surely, 2200000100001200 is an apocalyptic number.

200000100001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200000100001200 is an abundant number, since it is smaller than the sum of its proper divisors (440670398892576).

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

200000100001200 is a wasteful number, since it uses less digits than its factorization.

200000100001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913623 (or 913612 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200000100001200 its reverse (2100001000002), we get a palindrome (202100101001202).

The spelling of 200000100001200 in words is "two hundred trillion, one hundred million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 251861 503722 661741 755583 1007444 1259305 1323482 1511166 1985223 2014888 2518610 2646964 3022332 3308705 3777915 3970446 4029776 5037220 5293928 6044664 6296525 6617410 7555830 7940892 9926115 10074440 10587856 12089328 12593050 13234820 15111660 15881784 16543525 18889575 19852230 20148880 25186100 26469640 30223320 31763568 33087050 37779150 39704460 49630575 50372200 52939280 60446640 66174100 75558300 79408920 99261150 100744400 132348200 151116600 158817840 198522300 264696400 302233200 397044600 794089200 166666750001 333333500002 500000250003 666667000004 833333750005 1000000500006 1333334000008 1666667500010 2000001000012 2500001250015 2666668000016 3333335000020 4000002000024 4166668750025 5000002500030 6666670000040 8000004000048 8333337500050 10000005000060 12500006250075 13333340000080 16666675000100 20000010000120 25000012500150 33333350000200 40000020000240 50000025000300 66666700000400 100000050000600 200000100001200