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21221222011011 = 3311210778777137
BaseRepresentation
bin1001101001100111100110…
…11001100101000010000011
32210010201200110010110212000
410310303303121211002003
510240142030313323021
6113044521140035043
74320116443603101
oct464636331450203
983121613113760
1021221222011011
116841962653100
122468994392a83
13bac1ca4a63b9
1453518108ac71
1526c02cc24b26
hex134cf3665083

21221222011011 has 96 divisors (see below), whose sum is σ = 34924482512640. Its totient is φ = 12724792692480.

The previous prime is 21221222011001. The next prime is 21221222011021. The reversal of 21221222011011 is 11011022212212.

21221222011011 is a `hidden beast` number, since 212 + 212 + 220 + 1 + 10 + 11 = 666.

It is an interprime number because it is at equal distance from previous prime (21221222011001) and next prime (21221222011021).

It is not a de Polignac number, because 21221222011011 - 27 = 21221222010883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21221222011001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275072235 + ... + 275149371.

It is an arithmetic number, because the mean of its divisors is an integer number (363796692840).

Almost surely, 221221222011011 is an apocalyptic number.

21221222011011 is a deficient number, since it is larger than the sum of its proper divisors (13703260501629).

21221222011011 is a wasteful number, since it uses less digits than its factorization.

21221222011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78062 (or 78045 counting only the distinct ones).

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

Adding to 21221222011011 its reverse (11011022212212), we get a palindrome (32232244223223).

The spelling of 21221222011011 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty-two million, eleven thousand, eleven".

Divisors: 1 3 9 11 27 33 99 107 121 297 321 363 787 963 1089 1177 2361 2889 3267 3531 7083 8657 10593 12947 21249 25971 31779 38841 77137 77913 84209 95227 116523 231411 233739 252627 285681 349569 694233 757881 848507 857043 926299 2082699 2273643 2545521 2571129 2778897 7636563 8253659 8336691 9333577 10189289 22909689 24760977 25010073 28000731 30567867 60706819 74282931 84002193 90790249 91703601 182120457 222848793 252006579 272370747 275110803 546361371 667775009 817112241 998692739 1639084113 2003325027 2451336723 2996078217 6009975081 6495629633 7345525099 8988234651 18029925243 19486888899 22036575297 26964703953 58460666697 66109725891 71451925963 175382000091 198329177673 214355777889 643067333667 785971185593 1929202001001 2357913556779 7073740670337 21221222011011