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212300332100 = 22522123003321
BaseRepresentation
bin1100010110111000010…
…1011111110001000100
3202021222120112022000222
43011232011133301010
511434242341111400
6241310204523512
721224000022353
oct3055605376104
9667876468028
10212300332100
118204400381a
123518ab50598
13170347699ac
14a3bd95b99a
1557c826c185
hex316e15fc44

212300332100 has 18 divisors (see below), whose sum is σ = 460691720874. Its totient is φ = 84920132800.

The previous prime is 212300332087. The next prime is 212300332109. The reversal of 212300332100 is 1233003212.

212300332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2184440644 + 210115891456 = 46738^2 + 458384^2 .

It is not an unprimeable number, because it can be changed into a prime (212300332109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1061501561 + ... + 1061501760.

It is an arithmetic number, because the mean of its divisors is an integer number (25593984493).

Almost surely, 2212300332100 is an apocalyptic number.

212300332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300332100 is an abundant number, since it is smaller than the sum of its proper divisors (248391388774).

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

212300332100 is a wasteful number, since it uses less digits than its factorization.

212300332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123003335 (or 2123003328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 212300332100 its reverse (1233003212), we get a palindrome (213533335312).

The spelling of 212300332100 in words is "two hundred twelve billion, three hundred million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2123003321 4246006642 8492013284 10615016605 21230033210 42460066420 53075083025 106150166050 212300332100