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211210210200 = 2335211101316847
BaseRepresentation
bin1100010010110100011…
…1000000101110011000
3202012011121021100220210
43010231013000232120
511430024303211300
6241010103451120
721154662110403
oct3045507005630
9665147240823
10211210210200
1181634726030
1234b25a56aa0
1316bbc967252
14a318c70d3a
1557626d8050
hex312d1c0b98

211210210200 has 192 divisors, whose sum is σ = 721348830720. Its totient is φ = 50695360000.

The previous prime is 211210210129. The next prime is 211210210219. The reversal of 211210210200 is 2012012112.

211210210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508177 + ... + 825023.

It is an arithmetic number, because the mean of its divisors is an integer number (3757025160).

Almost surely, 2211210210200 is an apocalyptic number.

211210210200 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 211210210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360674415360).

211210210200 is an abundant number, since it is smaller than the sum of its proper divisors (510138620520).

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

211210210200 is a wasteful number, since it uses less digits than its factorization.

211210210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316978 (or 316969 counting only the distinct ones).

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

Adding to 211210210200 its reverse (2012012112), we get a palindrome (213222222312).

The spelling of 211210210200 in words is "two hundred eleven billion, two hundred ten million, two hundred ten thousand, two hundred".