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2012022120200 = 235253857186793
BaseRepresentation
bin11101010001110101110…
…111010001111100001000
321010100101021120211112012
4131101311313101330020
5230431110130321300
64140151000435052
7265235532561131
oct35216567217410
97110337524465
102012022120200
11706326040714
12285b3a178a88
1311796b172371
146d54d3c8c88
153750d66c435
hex1d475dd1f08

2012022120200 has 48 divisors (see below), whose sum is σ = 4678063332180. Its totient is φ = 804789596160.

The previous prime is 2012022120187. The next prime is 2012022120203. The reversal of 2012022120200 is 20212202102.

It can be written as a sum of positive squares in 6 ways, for example, as 1186108315396 + 825913804804 = 1089086^2 + 908798^2 .

It is not an unprimeable number, because it can be changed into a prime (2012022120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10678004 + ... + 10864796.

Almost surely, 22012022120200 is an apocalyptic number.

2012022120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012022120200 is an abundant number, since it is smaller than the sum of its proper divisors (2666041211980).

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

2012022120200 is a wasteful number, since it uses less digits than its factorization.

2012022120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240666 (or 240657 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2012022120200 its reverse (20212202102), we get a palindrome (2032234322302).

The spelling of 2012022120200 in words is "two trillion, twelve billion, twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 53857 107714 186793 215428 269285 373586 430856 538570 747172 933965 1077140 1346425 1494344 1867930 2154280 2692850 3735860 4669825 5385700 7471720 9339650 10771400 18679300 37358600 10060110601 20120221202 40240442404 50300553005 80480884808 100601106010 201202212020 251502765025 402404424040 503005530050 1006011060100 2012022120200