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211222110121320 = 233519213813530671
BaseRepresentation
bin110000000001101011111010…
…110101111010110101101000
31000200212122012000122221220110
4300001223322311322311220
5210141130340142340240
62025122033043454320
762330202536422224
oct6001537265726550
91020778160587813
10211222110121320
11613358806838a1
121b8343153873a0
1390b220c5cc70c
143a232c18c5784
151964589ceec80
hexc01afad7ad68

211222110121320 has 192 divisors, whose sum is σ = 669256954640640. Its totient is φ = 53322720422400.

The previous prime is 211222110121313. The next prime is 211222110121369. The reversal of 211222110121320 is 23121011222112.

It is a super-2 number, since 2×2112221101213202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58059585 + ... + 61590255.

It is an arithmetic number, because the mean of its divisors is an integer number (3485713305420).

Almost surely, 2211222110121320 is an apocalyptic number.

211222110121320 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 211222110121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334628477320320).

211222110121320 is an abundant number, since it is smaller than the sum of its proper divisors (458034844519320).

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

211222110121320 is a wasteful number, since it uses less digits than its factorization.

211222110121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532104 (or 3532081 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 211222110121320 its reverse (23121011222112), we get a palindrome (234343121343432).

The spelling of 211222110121320 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, three hundred twenty".