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111020101021221 = 37414327146323899
BaseRepresentation
bin11001001111100011100001…
…101011110010111000100101
3112120002102021201120212220120
4121033203201223302320211
5104022423131330134341
61032041532540552153
732245636412240160
oct3117434153627045
9476072251525816
10111020101021221
11324133a6813917
1210550533252659
1349c41c5b551a2
141d5b589c48ad7
15cc7d4a9ec066
hex64f8e1af2e25

111020101021221 has 128 divisors (see below), whose sum is σ = 178376127283200. Its totient is φ = 60097696243200.

The previous prime is 111020101021201. The next prime is 111020101021243. The reversal of 111020101021221 is 122120101020111.

It is a happy number.

It is not a de Polignac number, because 111020101021221 - 26 = 111020101021157 is a prime.

It is a super-2 number, since 2×1110201010212212 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111020101021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111020101021201) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4645374930 + ... + 4645398828.

It is an arithmetic number, because the mean of its divisors is an integer number (1393563494400).

Almost surely, 2111020101021221 is an apocalyptic number.

It is an amenable number.

111020101021221 is a deficient number, since it is larger than the sum of its proper divisors (67356026261979).

111020101021221 is a wasteful number, since it uses less digits than its factorization.

111020101021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24727.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111020101021221 its reverse (122120101020111), we get a palindrome (233140202041332).

The spelling of 111020101021221 in words is "one hundred eleven trillion, twenty billion, one hundred one million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 21 41 43 123 129 271 287 301 463 813 861 903 1389 1763 1897 3241 5289 5691 9723 11111 11653 12341 18983 19909 23899 33333 34959 37023 56949 59727 71697 77777 81571 125473 132881 139363 167293 233331 244713 376419 398643 418089 477773 501879 816269 878311 979859 1027657 1433319 2448807 2634933 2939577 3082971 3344411 5144393 5395339 5713883 6476629 6859013 7193599 10033233 11065237 15433179 16186017 17141649 19429887 20577039 21580797 33195711 36010751 37767373 42133937 45336403 77456659 108032253 113302119 126401811 136009209 221208899 232369977 265541789 278495047 294937559 453674717 475805191 663626697 796625367 835485141 884812677 1361024151 1427415573 1548462293 1858792523 1949465329 2998679227 3175723019 3330636337 4645386879 5576377569 5848395987 8996037681 9527169057 9991909011 11418296927 19508012831 20990754589 34254890781 58524038493 62972263767 79928078489 122945848307 128943206761 136556089817 239784235467 368837544921 386829620283 409668269451 860620938149 902602447327 2581862814447 2707807341981 5286671477201 15860014431603 37006700340407 111020101021221