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2021121021220 = 2257210152339043
BaseRepresentation
bin11101011010010100001…
…100110101010100100100
321011012212101202220020021
4131122110030311110210
5231103223440134340
64144253513444524
7266010156136300
oct35322414652444
97135771686207
102021121021220
1170a175142724
12287859410744
1311878b26cb72
146db739c6d00
1537892382e4a
hex1d694335524

2021121021220 has 144 divisors (see below), whose sum is σ = 4995855966528. Its totient is φ = 684765446400.

The previous prime is 2021121021217. The next prime is 2021121021373. The reversal of 2021121021220 is 221201211202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2021121021194 and 2021121021203.

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 47 ways as a sum of consecutive naturals, for example, 51747019 + ... + 51786061.

It is an arithmetic number, because the mean of its divisors is an integer number (34693444212).

Almost surely, 22021121021220 is an apocalyptic number.

2021121021220 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 2021121021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497927983264).

2021121021220 is an abundant number, since it is smaller than the sum of its proper divisors (2974734945308).

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

2021121021220 is a wasteful number, since it uses less digits than its factorization.

2021121021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39690 (or 39681 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2021121021220 its reverse (221201211202), we get a palindrome (2242322232422).

The spelling of 2021121021220 in words is "two trillion, twenty-one billion, one hundred twenty-one million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 101 140 196 202 245 404 490 505 523 707 980 1010 1046 1414 2020 2092 2615 2828 3535 3661 4949 5230 7070 7322 9898 10460 14140 14644 18305 19796 24745 25627 36610 39043 49490 51254 52823 73220 78086 98980 102508 105646 128135 156172 195215 211292 256270 264115 273301 369761 390430 512540 528230 546602 739522 780860 1056460 1093204 1366505 1479044 1848805 1913107 2588327 2733010 3697610 3826214 3943343 5176654 5466020 7395220 7652428 7886686 9565535 10353308 12941635 15773372 19131070 19716715 20419489 25883270 27603401 38262140 39433430 40838978 51766540 55206802 78866860 81677956 102097445 110413604 138017005 142936423 193223807 204194890 276034010 285872846 386447614 408389780 552068020 571745692 714682115 772895228 966119035 1000554961 1429364230 1932238070 2001109922 2062368389 2858728460 3864476140 4002219844 4124736778 5002774805 8249473556 10005549610 10311841945 14436578723 20011099220 20623683890 28873157446 41247367780 57746314892 72182893615 101056051061 144365787230 202112102122 288731574460 404224204244 505280255305 1010560510610 2021121021220