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2000112012200 = 235212018326861
BaseRepresentation
bin11101000110101111111…
…101110100101110101000
321002012122020121122211002
4131012233331310232220
5230232212133342300
64130501101454132
7264334432410161
oct35065775645650
97065566548732
102000112012200
117012740a7255
12283775571348
131167c0822593
146cb3d6ca768
1537062c565d5
hex1d1aff74ba8

2000112012200 has 48 divisors (see below), whose sum is σ = 4654132977660. Its totient is φ = 799378560000.

The previous prime is 2000112012193. The next prime is 2000112012211. The reversal of 2000112012200 is 22102110002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 294460340164 + 1705651672036 = 542642^2 + 1306006^2 .

It is a super-2 number, since 2×20001120122002 (a number of 25 digits) contains 22 as substring.

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, 3923231 + ... + 4403630.

Almost surely, 22000112012200 is an apocalyptic number.

2000112012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000112012200 is an abundant number, since it is smaller than the sum of its proper divisors (2654020965460).

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

2000112012200 is a wasteful number, since it uses less digits than its factorization.

2000112012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328078 (or 8328069 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2000112012200 its reverse (22102110002), we get a palindrome (2022214122202).

The spelling of 2000112012200 in words is "two trillion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1201 2402 4804 6005 9608 12010 24020 30025 48040 60050 120100 240200 8326861 16653722 33307444 41634305 66614888 83268610 166537220 208171525 333074440 416343050 832686100 1665372200 10000560061 20001120122 40002240244 50002800305 80004480488 100005600610 200011201220 250014001525 400022402440 500028003050 1000056006100 2000112012200