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20111220200200 = 2352100556101001
BaseRepresentation
bin1001001001010100000100…
…01000101101001100001000
32122012121120111220002000211
410210222002020231030020
510114000234332401300
6110434544513010504
74143662533102213
oct444520210551410
978177514802024
1020111220200200
116454136560668
122309832b53a34
13b2b63152869c
144d756150c77a
1524d2141594ba
hex124a8222d308

20111220200200 has 24 divisors (see below), whose sum is σ = 46758586965930. Its totient is φ = 8044488080000.

The previous prime is 20111220200173. The next prime is 20111220200207. The reversal of 20111220200200 is 200202211102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8138775945316 + 11972444254884 = 2852854^2 + 3460122^2 .

It is a super-2 number, since 2×201112202002002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20111220200207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50278050301 + ... + 50278050700.

Almost surely, 220111220200200 is an apocalyptic number.

20111220200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111220200200 is an abundant number, since it is smaller than the sum of its proper divisors (26647366765730).

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

20111220200200 is a wasteful number, since it uses less digits than its factorization.

20111220200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100556101017 (or 100556101008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20111220200200 its reverse (200202211102), we get a palindrome (20311422411302).

The spelling of 20111220200200 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 100556101001 201112202002 402224404004 502780505005 804448808008 1005561010010 2011122020020 2513902525025 4022244040040 5027805050050 10055610100100 20111220200200