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212211000210000 = 24354114314493323
BaseRepresentation
bin110000010000000100111001…
…010010001111001001010000
31000211101011200110211102011110
4300100010321102033021100
5210303331112023210000
62031200215422213320
762461511261453241
oct6020047122171120
91024334613742143
10212211000210000
11616871a831a9a0
121b973ab6724240
139154546c69a1c
143a590d260acc8
151980166015850
hexc1013948f250

212211000210000 has 800 divisors, whose sum is σ = 750950378956800. Its totient is φ = 51196006400000.

The previous prime is 212211000209953. The next prime is 212211000210047. The reversal of 212211000210000 is 12000112212.

It is an interprime number because it is at equal distance from previous prime (212211000209953) and next prime (212211000210047).

It is a super-2 number, since 2×2122110002100002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 63861268339 + ... + 63861271661.

It is an arithmetic number, because the mean of its divisors is an integer number (938687973696).

Almost surely, 2212211000210000 is an apocalyptic number.

212211000210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375475189478400).

212211000210000 is an abundant number, since it is smaller than the sum of its proper divisors (538739378746800).

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

212211000210000 is a wasteful number, since it uses less digits than its factorization.

212211000210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212211000210000 its reverse (12000112212), we get a palindrome (212223000322212).

The spelling of 212211000210000 in words is "two hundred twelve trillion, two hundred eleven billion, two hundred ten thousand".