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211000210220000 = 255456918541319
BaseRepresentation
bin101111111110011101010000…
…100100111110001111100000
31000200002102102102212000111202
4233332131100210332033200
5210124011412304020000
62024432054114500332
762305155623402345
oct5776352044761740
91020072372760452
10211000210220000
116125a7609a56a3
121b7b93075946a8
139097308107c66
143a1667107c7cc
15195d8ede20dd5
hexbfe75093e3e0

211000210220000 has 120 divisors (see below), whose sum is σ = 520004483737200. Its totient is φ = 84251748992000.

The previous prime is 211000210219993. The next prime is 211000210220021. The reversal of 211000210220000 is 22012000112.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2109341 + ... + 20650659.

It is an arithmetic number, because the mean of its divisors is an integer number (4333370697810).

Almost surely, 2211000210220000 is an apocalyptic number.

211000210220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000210220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260002241868600).

211000210220000 is an abundant number, since it is smaller than the sum of its proper divisors (309004273517200).

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

211000210220000 is an equidigital number, since it uses as much as digits as its factorization.

211000210220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541918 (or 18541895 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 211000210220000 its reverse (22012000112), we get a palindrome (211022222220112).

The spelling of 211000210220000 in words is "two hundred eleven trillion, two hundred ten million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 569 625 800 1000 1138 1250 2000 2276 2500 2845 4000 4552 5000 5690 9104 10000 11380 14225 18208 20000 22760 28450 45520 56900 71125 91040 113800 142250 227600 284500 355625 455200 569000 711250 1138000 1422500 2276000 2845000 5690000 11380000 18541319 37082638 74165276 92706595 148330552 185413190 296661104 370826380 463532975 593322208 741652760 927065950 1483305520 1854131900 2317664875 2966611040 3708263800 4635329750 7416527600 9270659500 10550010511 11588324375 14833055200 18541319000 21100021022 23176648750 37082638000 42200042044 46353297500 52750052555 74165276000 84400084088 92706595000 105500105110 168800168176 185413190000 211000210220 263750262775 337600336352 370826380000 422000420440 527500525550 844000840880 1055001051100 1318751313875 1688001681760 2110002102200 2637502627750 4220004204400 5275005255500 6593756569375 8440008408800 10550010511000 13187513138750 21100021022000 26375026277500 42200042044000 52750052555000 105500105110000 211000210220000