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211222101010221 = 32729347569240551
BaseRepresentation
bin110000000001101011111010…
…010011001010011100101101
31000200212122011101112001211100
4300001223322103022130231
5210141130330324311341
62025122032120313313
762330202366114240
oct6001537223123455
91020778141461740
10211222101010221
1161335876520564
121b834312312839
1390b220a75c632
143a232c05d3257
1519645891003b6
hexc01afa4ca72d

211222101010221 has 48 divisors (see below), whose sum is σ = 349882960976640. Its totient is φ = 120283374988800.

The previous prime is 211222101010199. The next prime is 211222101010273. The reversal of 211222101010221 is 122010101222112.

211222101010221 is a `hidden beast` number, since 211 + 2 + 2 + 210 + 10 + 10 + 221 = 666.

It is not a de Polignac number, because 211222101010221 - 214 = 211222100993837 is a prime.

It is a super-2 number, since 2×2112221010102212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222101010194 and 211222101010203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222101210221) 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 47 ways as a sum of consecutive naturals, for example, 877955896 + ... + 878196446.

It is an arithmetic number, because the mean of its divisors is an integer number (7289228353680).

Almost surely, 2211222101010221 is an apocalyptic number.

211222101010221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211222101010221 is a deficient number, since it is larger than the sum of its proper divisors (138660859966419).

211222101010221 is a wasteful number, since it uses less digits than its factorization.

211222101010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288426 (or 288423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211222101010221 its reverse (122010101222112), we get a palindrome (333232202232333).

The spelling of 211222101010221 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred one million, ten thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 293 879 2051 2637 6153 18459 47569 142707 240551 332983 428121 721653 998949 1683857 2164959 2996847 5051571 13937717 15154713 41813151 70481443 97564019 125439453 211444329 292692057 493370101 634332987 878076171 1480110303 4440330909 11442770519 34328311557 80099393633 102984934671 240298180899 720894542697 3352731762067 10058195286201 23469122334469 30174585858603 70407367003407 211222101010221