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212122020210100 = 2252711132163007777
BaseRepresentation
bin110000001110110010000001…
…101010011110010110110100
31000211001200000022021002010121
4300032302001222132112310
5210300401344133210400
62031051302200101324
762452211256110020
oct6016620152362664
91024050008232117
10212122020210100
1161652497442aa0
121b95a803464844
139149036568100
143a54a90d85380
15197cba94bb21a
hexc0ec81a9e5b4

212122020210100 has 216 divisors, whose sum is σ = 621427379727168. Its totient is φ = 61030111334400.

The previous prime is 212122020210077. The next prime is 212122020210103. The reversal of 212122020210100 is 1012020221212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212122020210103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80202589 + ... + 82805188.

It is an arithmetic number, because the mean of its divisors is an integer number (2876978609848).

Almost surely, 2212122020210100 is an apocalyptic number.

212122020210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212122020210100 is an abundant number, since it is smaller than the sum of its proper divisors (409305359517068).

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

212122020210100 is a wasteful number, since it uses less digits than its factorization.

212122020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163007835 (or 163007815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212122020210100 its reverse (1012020221212), we get a palindrome (213134040431312).

The spelling of 212122020210100 in words is "two hundred twelve trillion, one hundred twenty-two billion, twenty million, two hundred ten thousand, one hundred".