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20212212021100 = 225211172101629509
BaseRepresentation
bin1001001100010000001011…
…01101111011011101101100
32122120021020210211010202221
410212020011231323131230
510122124102234133400
6110553210110125124
74154166312314641
oct446100555733554
978507223733687
1020212212021100
116492a50833460
122325318ab07a4
13b380076704a8
144dc3c218bdc8
15250b754abc1a
hex126205b7b76c

20212212021100 has 216 divisors, whose sum is σ = 51331287868560. Its totient is φ = 6849047040000.

The previous prime is 20212212021073. The next prime is 20212212021107. The reversal of 20212212021100 is 112021221202.

It is a happy number.

It is a super-3 number, since 3×202122120211003 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (20212212021107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31793146 + ... + 32422654.

Almost surely, 220212212021100 is an apocalyptic number.

20212212021100 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 20212212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25665643934280).

20212212021100 is an abundant number, since it is smaller than the sum of its proper divisors (31119075847460).

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

20212212021100 is a wasteful number, since it uses less digits than its factorization.

20212212021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629669 (or 629645 counting only the distinct ones).

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

Adding to 20212212021100 its reverse (112021221202), we get a palindrome (20324233242302).

The spelling of 20212212021100 in words is "twenty trillion, two hundred twelve billion, two hundred twelve million, twenty-one thousand, one hundred".