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11211022021221 = 3311298811477457
BaseRepresentation
bin1010001100100100010011…
…1111000011001001100101
31110200202121101211001111000
42203021010333003021211
52432140133114134341
635502134501503513
72234653401601101
oct243110477031145
943622541731430
1011211022021221
113632627729860
121310930711b99
1363426c0aac79
142aa88b41a901
151469575bc8b6
hexa3244fc3265

11211022021221 has 64 divisors (see below), whose sum is σ = 18764898566400. Its totient is φ = 6552812851200.

The previous prime is 11211022021211. The next prime is 11211022021231. The reversal of 11211022021221 is 12212022011211.

11211022021221 is a `hidden beast` number, since 1 + 1 + 211 + 0 + 220 + 212 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (11211022021211) and next prime (11211022021231).

It is not a de Polignac number, because 11211022021221 - 237 = 11073583067749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211022021194 and 11211022021203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211022021211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6849325 + ... + 8326781.

It is an arithmetic number, because the mean of its divisors is an integer number (293201540100).

Almost surely, 211211022021221 is an apocalyptic number.

11211022021221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211022021221 is a deficient number, since it is larger than the sum of its proper divisors (7553876545179).

11211022021221 is a wasteful number, since it uses less digits than its factorization.

11211022021221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478387 (or 1478381 counting only the distinct ones).

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

Adding to 11211022021221 its reverse (12212022011211), we get a palindrome (23423044032432).

The spelling of 11211022021221 in words is "eleven trillion, two hundred eleven billion, twenty-two million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 881 957 2643 2871 7929 8613 9691 23787 25549 29073 76647 87219 229941 261657 281039 689823 843117 1477457 2529351 4432371 7588053 13297113 16252027 39891339 42846253 48756081 128538759 146268243 385616277 438804729 471308783 1156848831 1301639617 1413926349 3904918851 4241779047 11714756553 12725337141 14318035787 35144269659 37747548893 42954107361 113242646679 128862322083 339727940037 386586966249 415223037823 1019183820111 1245669113469 3737007340407 11211022021221