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211221002220012 = 223237158574325991
BaseRepresentation
bin110000000001101010111000…
…110011100111000111101100
31000200212112022210221202000200
4300001222320303213013230
5210141121103032020022
62025121331105353500
762330133224420241
oct6001527063470754
91020775283852020
10211221002220012
1161335362262184
121b834066338890
1390b2093c13505
143a232186cb5c8
151964522907bac
hexc01ab8ce71ec

211221002220012 has 36 divisors (see below), whose sum is σ = 548350019280336. Its totient is φ = 68504108827680.

The previous prime is 211221002219989. The next prime is 211221002220013. The reversal of 211221002220012 is 210022200122112.

It is a happy number.

211221002220012 is a `hidden beast` number, since 211 + 221 + 0 + 0 + 2 + 220 + 0 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2112210022200123 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211221002220013) 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 11 ways as a sum of consecutive naturals, for example, 79287161664 + ... + 79287164327.

Almost surely, 2211221002220012 is an apocalyptic number.

It is an amenable number.

211221002220012 is an abundant number, since it is smaller than the sum of its proper divisors (337129017060324).

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

211221002220012 is a wasteful number, since it uses less digits than its factorization.

211221002220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158574326038 (or 158574326033 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211221002220012 its reverse (210022200122112), we get a palindrome (421243202342124).

It can be divided in two parts, 2112 and 21002220012, that multiplied together give a palindrome (44356688665344).

The spelling of 211221002220012 in words is "two hundred eleven trillion, two hundred twenty-one billion, two million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 158574325991 317148651982 475722977973 634297303964 951445955946 1427168933919 1902891911892 2854337867838 5708675735676 5867250061667 11734500123334 17601750185001 23469000246668 35203500370002 52805250555003 70407000740004 105610501110006 211221002220012