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211200010012200 = 233521122909091047
BaseRepresentation
bin110000000001010111010101…
…100100101100011000101000
31000200210112010211102002112110
4300001113111210230120220
5210140300110030342300
62025103540053442320
762325461063535216
oct6001272544543050
91020715124362473
10211200010012200
116132746a751800
121b82bb880403a0
1390b00c9ac9381
143a221c6725cb6
151963be49e9550
hexc015d592c628

211200010012200 has 144 divisors (see below), whose sum is σ = 719650943454240. Its totient is φ = 51200002409600.

The previous prime is 211200010012183. The next prime is 211200010012261. The reversal of 211200010012200 is 2210010002112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 35 ways as a sum of consecutive naturals, for example, 1454472924 + ... + 1454618123.

It is an arithmetic number, because the mean of its divisors is an integer number (4997575996210).

Almost surely, 2211200010012200 is an apocalyptic number.

211200010012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200010012200 is an abundant number, since it is smaller than the sum of its proper divisors (508450933442040).

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

211200010012200 is a wasteful number, since it uses less digits than its factorization.

211200010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909091088 (or 2909091068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211200010012200 its reverse (2210010002112), we get a palindrome (213410020014312).

The spelling of 211200010012200 in words is "two hundred eleven trillion, two hundred billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 9075 12100 14520 18150 24200 36300 72600 2909091047 5818182094 8727273141 11636364188 14545455235 17454546282 23272728376 29090910470 32000001517 34909092564 43636365705 58181820940 64000003034 69818185128 72727276175 87272731410 96000004551 116363641880 128000006068 145454552350 160000007585 174545462820 192000009102 218181828525 256000012136 290909104700 320000015170 349090925640 352000016687 384000018204 436363657050 480000022755 581818209400 640000030340 704000033374 768000036408 800000037925 872727314100 960000045510 1056000050061 1280000060680 1408000066748 1600000075850 1745454628200 1760000083435 1920000091020 2112000100122 2400000113775 2816000133496 3200000151700 3520000166870 3840000182040 4224000200244 4800000227550 5280000250305 6400000303400 7040000333740 8448000400488 8800000417175 9600000455100 10560000500610 14080000667480 17600000834350 19200000910200 21120001001220 26400001251525 35200001668700 42240002002440 52800002503050 70400003337400 105600005006100 211200010012200