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21222210210120 = 2333579832996827
BaseRepresentation
bin1001101001101001011100…
…10011010000100101001000
32210010211020022121012012000
410310310232103100211020
510240201041303210440
6113045203200351000
74320153103264053
oct464645623204510
983124208535160
1021222210210120
11684231a446787
12246900b315460
13bac3271410ba
14535236405a9a
1526c089874730
hex134d2e4d0948

21222210210120 has 256 divisors, whose sum is σ = 72499262976000. Its totient is φ = 5520297339648.

The previous prime is 21222210210029. The next prime is 21222210210139. The reversal of 21222210210120 is 2101201222212.

It is a happy number.

21222210210120 is a `hidden beast` number, since 2 + 1 + 222 + 210 + 210 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21222210210093 and 21222210210102.

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 63 ways as a sum of consecutive naturals, for example, 5583147 + ... + 8579973.

It is an arithmetic number, because the mean of its divisors is an integer number (283200246000).

Almost surely, 221222210210120 is an apocalyptic number.

21222210210120 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 21222210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36249631488000).

21222210210120 is an abundant number, since it is smaller than the sum of its proper divisors (51277052765880).

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

21222210210120 is a wasteful number, since it uses less digits than its factorization.

21222210210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997009 (or 2996999 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21222210210120 its reverse (2101201222212), we get a palindrome (23323411432332).

The spelling of 21222210210120 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred ten million, two hundred ten thousand, one hundred twenty".