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211022300032220 = 225971103110539511
BaseRepresentation
bin101111111110110001110101…
…001110111010110011011100
31000200011112102220201202012002
4233332301311032322303130
5210124342132302012340
62024450150100101432
762306600212612265
oct5776616516726334
91020145386652162
10211022300032220
1161269067034556
121b801651394878
139099418744571
143a17768b1b96c
15195e293390715
hexbfec753bacdc

211022300032220 has 48 divisors (see below), whose sum is σ = 444033519100416. Its totient is φ = 84240195528000.

The previous prime is 211022300032207. The next prime is 211022300032259. The reversal of 211022300032220 is 22230003220112.

It is a happy number.

It is a super-2 number, since 2×2110223000322202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211022300032192 and 211022300032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14752265 + ... + 25291775.

It is an arithmetic number, because the mean of its divisors is an integer number (9250698314592).

Almost surely, 2211022300032220 is an apocalyptic number.

211022300032220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211022300032220 is an abundant number, since it is smaller than the sum of its proper divisors (233011219068196).

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

211022300032220 is a wasteful number, since it uses less digits than its factorization.

211022300032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541522 (or 10541520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211022300032220 its reverse (22230003220112), we get a palindrome (233252303252332).

The spelling of 211022300032220 in words is "two hundred eleven trillion, twenty-two billion, three hundred million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 971 1031 1942 2062 3884 4124 4855 5155 9710 10310 19420 20620 1001101 2002202 4004404 5005505 10011010 10539511 20022020 21079022 42158044 52697555 105395110 210790220 10233865181 10866235841 20467730362 21732471682 40935460724 43464943364 51169325905 54331179205 102338651810 108662358410 204677303620 217324716820 10551115001611 21102230003222 42204460006444 52755575008055 105511150016110 211022300032220