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2001012022020 = 2235114751638147
BaseRepresentation
bin11101000111100101100…
…111000101101100000100
321002021221222010220012010
4131013211213011230010
5230241033034201040
64131130252054220
7264365641356414
oct35074547055404
97067858126163
102001012022020
11701696135a20
12283986a64370
1311690512057b
146cbc704a644
15370b6c85e80
hex1d1e59c5b04

2001012022020 has 96 divisors (see below), whose sum is σ = 6113478260736. Its totient is φ = 484990960000.

The previous prime is 2001012022013. The next prime is 2001012022021. The reversal of 2001012022020 is 202202101002.

It is a super-2 number, since 2×20010120220202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001012021987 and 2001012022005.

It is not an unprimeable number, because it can be changed into a prime (2001012022021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2816587 + ... + 3454733.

It is an arithmetic number, because the mean of its divisors is an integer number (63682065216).

Almost surely, 22001012022020 is an apocalyptic number.

2001012022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001012022020 is an abundant number, since it is smaller than the sum of its proper divisors (4112466238716).

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

2001012022020 is a wasteful number, since it uses less digits than its factorization.

2001012022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642921 (or 642919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001012022020 its reverse (202202101002), we get a palindrome (2203214123022).

The spelling of 2001012022020 in words is "two trillion, one billion, twelve million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4751 9502 14253 19004 23755 28506 47510 52261 57012 71265 95020 104522 142530 156783 209044 261305 285060 313566 522610 627132 638147 783915 1045220 1276294 1567830 1914441 2552588 3135660 3190735 3828882 6381470 7019617 7657764 9572205 12762940 14039234 19144410 21058851 28078468 35098085 38288820 42117702 70196170 84235404 105294255 140392340 210588510 421177020 3031836397 6063672794 9095509191 12127345588 15159181985 18191018382 30318363970 33350200367 36382036764 45477545955 60636727940 66700400734 90955091910 100050601101 133400801468 166751001835 181910183820 200101202202 333502003670 400202404404 500253005505 667004007340 1000506011010 2001012022020