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21011120221221 = 3413117899169243
BaseRepresentation
bin1001100011100000010000…
…10110110110110000100101
32202101122101002112200220000
410301300020112312300211
510223221233234034341
6112404213025331513
74266001101055644
oct461601026666045
982348332480800
1021011120221221
1167708476737a9
122434119796b99
13b9545637a720
14528d2d50b35b
152668329d78b6
hex131c085b6c25

21011120221221 has 40 divisors (see below), whose sum is σ = 33801851714400. Its totient is φ = 12929734068768.

The previous prime is 21011120221213. The next prime is 21011120221279. The reversal of 21011120221221 is 12212202111012.

21011120221221 is a `hidden beast` number, since 2 + 101 + 1 + 120 + 221 + 221 = 666.

It is not a de Polignac number, because 21011120221221 - 23 = 21011120221213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21011120221194 and 21011120221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011120221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124063026 + ... + 124232268.

It is an arithmetic number, because the mean of its divisors is an integer number (845046292860).

Almost surely, 221011120221221 is an apocalyptic number.

It is an amenable number.

21011120221221 is a deficient number, since it is larger than the sum of its proper divisors (12790731493179).

21011120221221 is a wasteful number, since it uses less digits than its factorization.

21011120221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287167 (or 287158 counting only the distinct ones).

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

Adding to 21011120221221 its reverse (12212202111012), we get a palindrome (33223322332233).

The spelling of 21011120221221 in words is "twenty-one trillion, eleven billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 117899 169243 353697 507729 1061091 1523187 1532687 2200159 3183273 4569561 4598061 6600477 9549819 13708683 13794183 19801431 41382549 59404293 124147647 178212879 19953580457 59860741371 179582224113 259396545941 538746672339 778189637823 1616240017017 2334568913469 7003706740407 21011120221221