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10012111212200 = 235250060556061
BaseRepresentation
bin1001000110110010000001…
…0101010000111010101000
31022110011000020121120122012
42101230200111100322220
52303014300432242300
633143300030215052
72052231310061666
oct221544025207250
938404006546565
1010012111212200
113210126844aa9
1211584b7954488
135781a435b086
14268835819c36
15125688330435
hex91b20550ea8

10012111212200 has 24 divisors (see below), whose sum is σ = 23278158568830. Its totient is φ = 4004844484800.

The previous prime is 10012111212157. The next prime is 10012111212203. The reversal of 10012111212200 is 221211121001.

It can be written as a sum of positive squares in 3 ways, for example, as 6600901685284 + 3411209526916 = 2569222^2 + 1846946^2 .

It is not an unprimeable number, because it can be changed into a prime (10012111212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25030277831 + ... + 25030278230.

Almost surely, 210012111212200 is an apocalyptic number.

10012111212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012111212200 is an abundant number, since it is smaller than the sum of its proper divisors (13266047356630).

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

10012111212200 is a wasteful number, since it uses less digits than its factorization.

10012111212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50060556077 (or 50060556068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10012111212200 its reverse (221211121001), we get a palindrome (10233322333201).

The spelling of 10012111212200 in words is "ten trillion, twelve billion, one hundred eleven million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50060556061 100121112122 200242224244 250302780305 400484448488 500605560610 1001211121220 1251513901525 2002422242440 2503027803050 5006055606100 10012111212200