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2001022020 = 2232511116789
BaseRepresentation
bin111011101000101…
…0010110001000100
312011110021110011200
41313101102301010
513044230201040
6530320502500
7100405256304
oct16721226104
95143243150
102001022020
11937585508
1247a17aa30
1325b7445ca
1414da83604
15baa15630
hex77452c44

2001022020 has 36 divisors (see below), whose sum is σ = 6069767340. Its totient is φ = 533605824.

The previous prime is 2001021989. The next prime is 2001022061. The reversal of 2001022020 is 202201002.

It can be written as a sum of positive squares in 2 ways, for example, as 1517725764 + 483296256 = 38958^2 + 21984^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2001021993 and 2001022011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5558215 + ... + 5558574.

Almost surely, 22001022020 is an apocalyptic number.

2001022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001022020 is an abundant number, since it is smaller than the sum of its proper divisors (4068745320).

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

2001022020 is a wasteful number, since it uses less digits than its factorization.

2001022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11116804 (or 11116799 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2001022020 is about 44732.7846215726. The cubic root of 2001022020 is about 1260.1356241011.

Adding to 2001022020 its reverse (202201002), we get a palindrome (2203223022).

The spelling of 2001022020 in words is "two billion, one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11116789 22233578 33350367 44467156 55583945 66700734 100051101 111167890 133401468 166751835 200102202 222335780 333503670 400204404 500255505 667007340 1000511010 2001022020