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20110121200220 = 2252989631617401
BaseRepresentation
bin1001001001010010000001…
…01000010110101001011100
32122012111201220221002110212
410210221000220112221130
510113441012011401340
6110434243453351552
74143623356542512
oct444510050265134
978174656832425
1020110121200220
116453722169717
122309586a985b8
13b2b4b7937c3c
144d74995904b2
1524d19c91ea65
hex124a40a16a5c

20110121200220 has 96 divisors (see below), whose sum is σ = 44248460457600. Its totient is φ = 7667218944000.

The previous prime is 20110121200121. The next prime is 20110121200259. The reversal of 20110121200220 is 2200212101102.

It is a junction number, because it is equal to n+sod(n) for n = 20110121200195 and 20110121200204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32263520 + ... + 32880920.

It is an arithmetic number, because the mean of its divisors is an integer number (460921463100).

Almost surely, 220110121200220 is an apocalyptic number.

20110121200220 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 20110121200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124230228800).

20110121200220 is an abundant number, since it is smaller than the sum of its proper divisors (24138339257380).

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

20110121200220 is a wasteful number, since it uses less digits than its factorization.

20110121200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618159 (or 618157 counting only the distinct ones).

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

Adding to 20110121200220 its reverse (2200212101102), we get a palindrome (22310333301322).

The spelling of 20110121200220 in words is "twenty trillion, one hundred ten billion, one hundred twenty-one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 631 890 1262 1780 2524 2581 3155 5162 6310 10324 12620 12905 18299 25810 36598 51620 56159 73196 91495 112318 182990 224636 280795 365980 561590 617401 1123180 1234802 1628611 2469604 3087005 3257222 6174010 6514444 8143055 12348020 16286110 17904629 32572220 35809258 54948689 71618516 89523145 109897378 179046290 219794756 274743445 358092580 389580031 549486890 779160062 1098973780 1558320124 1593511981 1947900155 3187023962 3895800310 6374047924 7791600620 7967559905 11297820899 15935119810 22595641798 31870239620 34672622759 45191283596 56489104495 69345245518 112978208990 138690491036 173363113795 225956417980 346726227590 693452455180 1005506060011 2011012120022 4022024240044 5027530300055 10055060600110 20110121200220