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201211001200 = 245211231988251
BaseRepresentation
bin1011101101100100011…
…1000011100101110000
3201020100201222220211201
42323121013003211300
511244040004014300
6232233550020544
720352124201516
oct2733107034560
9636321886751
10201211001200
1178373401340
1232bb51a7754
1315c88195b31
149a4ac764b6
15537993466a
hex2ed91c3970

201211001200 has 120 divisors (see below), whose sum is σ = 550284529536. Its totient is φ = 69986400000.

The previous prime is 201211001197. The next prime is 201211001249. The reversal of 201211001200 is 2100112102.

201211001200 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 a congruent number.

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, 892926 + ... + 1095325.

Almost surely, 2201211001200 is an apocalyptic number.

201211001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211001200 is an abundant number, since it is smaller than the sum of its proper divisors (349073528336).

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

201211001200 is a wasteful number, since it uses less digits than its factorization.

201211001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988303 (or 1988292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201211001200 its reverse (2100112102), we get a palindrome (203311113302).

The spelling of 201211001200 in words is "two hundred one billion, two hundred eleven million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 176 184 200 220 230 253 275 368 400 440 460 506 550 575 880 920 1012 1100 1150 1265 1840 2024 2200 2300 2530 4048 4400 4600 5060 6325 9200 10120 12650 20240 25300 50600 101200 1988251 3976502 7953004 9941255 15906008 19882510 21870761 31812016 39765020 43741522 45729773 49706275 79530040 87483044 91459546 99412550 109353805 159060080 174966088 182919092 198825100 218707610 228648865 349932176 365838184 397650200 437415220 457297730 503027503 546769025 731676368 795300400 874830440 914595460 1006055006 1093538050 1143244325 1749660880 1829190920 2012110012 2187076100 2286488650 2515137515 3658381840 4024220024 4374152200 4572977300 5030275030 8048440048 8748304400 9145954600 10060550060 12575687575 18291909200 20121100120 25151375150 40242200240 50302750300 100605500600 201211001200