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212001111220101 = 37531412411348597
BaseRepresentation
bin110000001101000001011010…
…111011010001111110000101
31000210122002220221122222202220
4300031001122323101332011
5210241411233433020401
62030515544352522553
762440401111464010
oct6015013273217605
91023562827588686
10212001111220101
1161606191476275
121b93b29b250459
13913a807c5a448
143a4cca1022377
15197997e810336
hexc0d05aed1f85

212001111220101 has 32 divisors (see below), whose sum is σ = 329147156821248. Its totient is φ = 118856836200960.

The previous prime is 212001111220079. The next prime is 212001111220103. The reversal of 212001111220101 is 101022111100212.

It is a happy number.

It is not a de Polignac number, because 212001111220101 - 210 = 212001111219077 is a prime.

It is a super-2 number, since 2×2120011112201012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001111220103) 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 31 ways as a sum of consecutive naturals, for example, 156526935 + ... + 157875531.

It is an arithmetic number, because the mean of its divisors is an integer number (10285848650664).

Almost surely, 2212001111220101 is an apocalyptic number.

212001111220101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212001111220101 is a deficient number, since it is larger than the sum of its proper divisors (117146045601147).

212001111220101 is a wasteful number, since it uses less digits than its factorization.

212001111220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489901.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212001111220101 its reverse (101022111100212), we get a palindrome (313023222320313).

The spelling of 212001111220101 in words is "two hundred twelve trillion, one billion, one hundred eleven million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 7 21 53 159 371 1113 141241 423723 988687 1348597 2966061 4045791 7485773 9440179 22457319 28320537 52400411 71475641 157201233 214426923 500329487 1500988461 190477188877 571431566631 1333340322139 4000020966417 10095291010481 30285873031443 70667037073367 212001111220101