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2000201101020 = 223355003740371
BaseRepresentation
bin11101000110110101010…
…001101010111011011100
321002012212110020211201000
4131012311101222323130
5230232402440213040
64130514003150300
7264336563556303
oct35066521527334
97065773224630
102000201101020
1170130a415a81
1228379b375390
13116806115865
146cb4b47b43a
153706a9a3130
hex1d1b546aedc

2000201101020 has 96 divisors (see below), whose sum is σ = 6224100099840. Its totient is φ = 533279626560.

The previous prime is 2000201100977. The next prime is 2000201101027. The reversal of 2000201101020 is 201011020002.

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 = 2000201100993 and 2000201101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000201101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2331435 + ... + 3071805.

It is an arithmetic number, because the mean of its divisors is an integer number (64834376040).

Almost surely, 22000201101020 is an apocalyptic number.

2000201101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000201101020 is an abundant number, since it is smaller than the sum of its proper divisors (4223898998820).

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

2000201101020 is a wasteful number, since it uses less digits than its factorization.

2000201101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745392 (or 745384 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000201101020 its reverse (201011020002), we get a palindrome (2201212121022).

The spelling of 2000201101020 in words is "two trillion, two hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 5003 10006 15009 20012 25015 30018 45027 50030 60036 75045 90054 100060 135081 150090 180108 225135 270162 300180 450270 540324 675405 740371 900540 1350810 1480742 2221113 2701620 2961484 3701855 4442226 6663339 7403710 8884452 11105565 13326678 14807420 19990017 22211130 26653356 33316695 39980034 44422260 66633390 79960068 99950085 133266780 199900170 399800340 3704076113 7408152226 11112228339 14816304452 18520380565 22224456678 33336685017 37040761130 44448913356 55561141695 66673370034 74081522260 100010055051 111122283390 133346740068 166683425085 200020110102 222244566780 333366850170 400040220204 500050275255 666733700340 1000100550510 2000201101020