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212211212000200 = 23527178916437479
BaseRepresentation
bin110000010000000101000101…
…111010001001101111001000
31000211101012020020100110200221
4300100011011322021233020
5210303332030233001300
62031200252425435424
762461516442604340
oct6020050572115710
91024335206313627
10212211212000200
11616872a6926016
121b973b5563bb74
13915457bac167a
143a591127bbd20
1519801798ed31a
hexc10145e89bc8

212211212000200 has 96 divisors (see below), whose sum is σ = 597044653660800. Its totient is φ = 68478239831040.

The previous prime is 212211212000191. The next prime is 212211212000269. The reversal of 212211212000200 is 2000212112212.

It is a happy 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, 4458194940 + ... + 4458242539.

It is an arithmetic number, because the mean of its divisors is an integer number (6219215142300).

Almost surely, 2212211212000200 is an apocalyptic number.

212211212000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211212000200 is an abundant number, since it is smaller than the sum of its proper divisors (384833441660600).

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

212211212000200 is a wasteful number, since it uses less digits than its factorization.

212211212000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8916437519 (or 8916437510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212211212000200 its reverse (2000212112212), we get a palindrome (214211424112412).

The spelling of 212211212000200 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 8916437479 17832874958 35665749916 44582187395 62415062353 71331499832 89164374790 124830124706 151579437143 178328749580 222910936975 249660249412 303158874286 312075311765 356657499160 445821873950 499320498824 606317748572 624150623530 757897185715 891643747900 1061056060001 1212635497144 1248301247060 1515794371430 1560376558825 1783287495800 2122112120002 2496602494120 3031588742860 3120753117650 3789485928575 4244224240004 5305280300005 6063177485720 6241506235300 7578971857150 8488448480008 10610560600010 12483012470600 15157943714300 21221121200020 26526401500025 30315887428600 42442242400040 53052803000050 106105606000100 212211212000200