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220201210120221 = 331117713471770217
BaseRepresentation
bin110010000100010110010110…
…111010001000100000011101
31001212200000210221102201121000
4302010112112322020200131
5212330234034242321341
62100155012302500513
764245004156211631
oct6204262672104035
91055600727381530
10220201210120221
116418789952a840
1220844577894739
1395b3b674ba745
143c53b1c968dc1
151a6ce137338b6
hexc84596e8881d

220201210120221 has 128 divisors (see below), whose sum is σ = 383223590277120. Its totient is φ = 123478938777600.

The previous prime is 220201210120219. The next prime is 220201210120273. The reversal of 220201210120221 is 122021012102022.

It is a happy number.

220201210120221 is a `hidden beast` number, since 2 + 20 + 201 + 210 + 12 + 0 + 221 = 666.

It is not a de Polignac number, because 220201210120221 - 21 = 220201210120219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220201210120194 and 220201210120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220201210120121) 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, 123507105 + ... + 125277321.

It is an arithmetic number, because the mean of its divisors is an integer number (2993934299040).

Almost surely, 2220201210120221 is an apocalyptic number.

It is an amenable number.

220201210120221 is a deficient number, since it is larger than the sum of its proper divisors (163022380156899).

220201210120221 is a wasteful number, since it uses less digits than its factorization.

220201210120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770672 (or 1770666 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220201210120221 its reverse (122021012102022), we get a palindrome (342222222222243).

The spelling of 220201210120221 in words is "two hundred twenty trillion, two hundred one billion, two hundred ten million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 51 71 99 153 187 213 297 347 459 561 639 781 1041 1207 1683 1917 2343 3123 3621 3817 5049 5899 7029 9369 10863 11451 13277 17697 21087 24637 32589 34353 39831 53091 64889 73911 103059 119493 159273 194667 221733 271007 358479 418829 584001 665199 813021 1256487 1752003 1770217 2439063 3769461 4607119 5310651 7317189 11308383 13821357 15931953 19472387 30093689 41464071 47795859 58417161 90281067 124392213 125685407 175251483 270843201 331030579 377056221 525754449 614265299 812529603 993091737 1131168663 1382539477 1842795897 2136651919 2979275211 3393505989 4147618431 5528387691 6409955757 6756918289 8937825633 10442510083 12442855293 16585163073 19229867271 20270754867 23503171109 31327530249 37328565879 43612836229 57689601813 60812264601 70509513327 93982590747 114867610913 130838508687 182436793803 211528539981 281947772241 344602832739 392515526061 479741198519 634585619943 741418215893 1033808498217 1177546578183 1439223595557 2224254647679 3101425494651 4317670786671 6672763943037 8155600374823 12953012360013 20018291829111 24466801124469 73400403373407 220201210120221