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211322331011200 = 2752173884601673
BaseRepresentation
bin110000000011001001010000…
…011110010001100010000000
31000201020012212120221200002211
4300003021100132101202000
5210144301113214324300
62025240045541151504
762340351235061443
oct6003112036214200
91021205776850084
10211322331011200
116137432a76a812
121b84b8250bb594
1390bb7c1acb916
143a280ac00565a
151966ea361d4ba
hexc03250791880

211322331011200 has 96 divisors (see below), whose sum is σ = 552739972193460. Its totient is φ = 79556642242560.

The previous prime is 211322331011147. The next prime is 211322331011261. The reversal of 211322331011200 is 2110133223112.

It can be written as a sum of positive squares in 6 ways, for example, as 40029309304384 + 171293021706816 = 6326872^2 + 13087896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1942246437 + ... + 1942355236.

Almost surely, 2211322331011200 is an apocalyptic number.

211322331011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211322331011200 is an abundant number, since it is smaller than the sum of its proper divisors (341417641182260).

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

211322331011200 is a wasteful number, since it uses less digits than its factorization.

211322331011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884601714 (or 3884601697 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 211322331011200 its reverse (2110133223112), we get a palindrome (213432464234312).

The spelling of 211322331011200 in words is "two hundred eleven trillion, three hundred twenty-two billion, three hundred thirty-one million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 3884601673 7769203346 15538406692 19423008365 31076813384 38846016730 62153626768 66038228441 77692033460 97115041825 124307253536 132076456882 155384066920 194230083650 248614507072 264152913764 310768133840 330191142205 388460167300 497229014144 528305827528 621536267680 660382284410 776920334600 1056611655056 1243072535360 1320764568820 1553840669200 1650955711025 2113223310112 2486145070720 2641529137640 3107681338400 3301911422050 4226446620224 5283058275280 6215362676800 6603822844100 8452893240448 10566116550560 12430725353600 13207645688200 21132233101120 26415291376400 42264466202240 52830582752800 105661165505600 211322331011200