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111100220121201 = 31721929713672677
BaseRepresentation
bin11001010000101110001001…
…001001111010000001110001
3112120101002002100210212100220
4121100232021021322001301
5104030231222322334301
61032142423031203253
732254504011324063
oct3120561111720161
9476332070725326
10111100220121201
113244437a977533
1210563b72b16529
1349cb92385a35c
141d613ca747733
15cc9e89694936
hex650b8927a071

111100220121201 has 144 divisors (see below), whose sum is σ = 167975556368256. Its totient is φ = 65287952252928.

The previous prime is 111100220121199. The next prime is 111100220121221. The reversal of 111100220121201 is 102121022001111.

It is a happy number.

It is not a de Polignac number, because 111100220121201 - 21 = 111100220121199 is a prime.

It is a super-3 number, since 3×1111002201212013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (111100220121221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41501761875 + ... + 41501764551.

It is an arithmetic number, because the mean of its divisors is an integer number (1166496919224).

Almost surely, 2111100220121201 is an apocalyptic number.

It is an amenable number.

111100220121201 is a deficient number, since it is larger than the sum of its proper divisors (56875336247055).

111100220121201 is a wasteful number, since it uses less digits than its factorization.

111100220121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4180 counting only the distinct ones).

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

Adding to 111100220121201 its reverse (102121022001111), we get a palindrome (213221242122312).

The spelling of 111100220121201 in words is "one hundred eleven trillion, one hundred billion, two hundred twenty million, one hundred twenty-one thousand, two hundred one".

Divisors: 1 3 17 19 51 57 97 289 291 323 361 867 969 1083 1367 1649 1843 2677 4101 4947 5491 5529 6137 8031 16473 18411 23239 25973 28033 31331 35017 45509 50863 69717 77919 84099 93993 104329 105051 132599 136527 152589 259669 312987 395063 397797 441541 493487 532627 595289 773653 779007 864671 966397 1185189 1324623 1480461 1597881 1785867 2254183 2320959 2519381 2594013 2899191 3659459 4414373 4933711 6762549 7506197 7558143 8389279 10119913 10978377 13243119 14699407 14801133 16428749 22518591 25167837 30359739 38321111 42829477 44098221 47868239 49286247 62210803 69529721 75044341 83873087 93740509 114963333 128488431 142617743 143604717 186632409 208589163 225133023 251619261 279288733 281221527 354967523 427853229 728101109 813760063 837866199 1057583651 1064902569 1182005257 1321064699 1425842479 1593588653 2184303327 2441280189 3172750953 3546015771 3963194097 4277527437 4780765959 6034447891 6744382937 13833921071 18103343673 20094089369 20233148811 22458099883 27091007101 41501763213 60282268107 67374299649 81273021303 102585614147 114654509929 128143275803 307756842441 343963529787 381787698011 384429827409 1145363094033 1949126668793 2178435688651 5847380006379 6535307065953 37033406707067 111100220121201