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211122212000 = 255377540079
BaseRepresentation
bin1100010010011111011…
…1010100110010100000
3202011221110200121002012
43010213313110302200
511424334241241000
6240553241412052
721152543123030
oct3044767246240
9664843617065
10211122212000
1181599a91747
1234b0049a028
1316ba76664cb
14a30b2c58c0
155759b04735
hex3127dd4ca0

211122212000 has 96 divisors (see below), whose sum is σ = 592831249920. Its totient is φ = 72384748800.

The previous prime is 211122211987. The next prime is 211122212069. The reversal of 211122212000 is 212221112.

211122212000 is digitally balanced in base 3, 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 (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3742040 + ... + 3798039.

It is an arithmetic number, because the mean of its divisors is an integer number (6175325520).

Almost surely, 2211122212000 is an apocalyptic number.

211122212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122212000 is an abundant number, since it is smaller than the sum of its proper divisors (381709037920).

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

211122212000 is an equidigital number, since it uses as much as digits as its factorization.

211122212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7540111 (or 7540093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211122212000 its reverse (212221112), we get a palindrome (211334433112).

The spelling of 211122212000 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 7540079 15080158 30160316 37700395 52780553 60320632 75400790 105561106 120641264 150801580 188501975 211122212 241282528 263902765 301603160 377003950 422244424 527805530 603206320 754007900 844488848 942509875 1055611060 1206412640 1319513825 1508015800 1688977696 1885019750 2111222120 2639027650 3016031600 3770039500 4222444240 5278055300 6032063200 6597569125 7540079000 8444888480 10556110600 13195138250 15080158000 21112221200 26390276500 30160316000 42224442400 52780553000 105561106000 211122212000