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111031212413121 = 371113371516617761
BaseRepresentation
bin11001001111101101110111…
…111110011001000011000001
3112120010110222002122002002220
4121033231313332121003001
5104023113410334204441
61032051011304401253
732246511643432560
oct3117556776310301
9476113862562086
10111031212413121
1132418088914030
1210552714476229
1349c5276b815b0
141d5bd21833bd7
15cc829b241466
hex64fb77f990c1

111031212413121 has 128 divisors (see below), whose sum is σ = 205493263245312. Its totient is φ = 51459701760000.

The previous prime is 111031212413081. The next prime is 111031212413167. The reversal of 111031212413121 is 121314212130111.

It is not a de Polignac number, because 111031212413121 - 27 = 111031212412993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111031212413091 and 111031212413100.

It is not an unprimeable number, because it can be changed into a prime (111031212413021) 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, 13468881 + ... + 20086641.

It is an arithmetic number, because the mean of its divisors is an integer number (1605416119104).

Almost surely, 2111031212413121 is an apocalyptic number.

111031212413121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111031212413121 is a deficient number, since it is larger than the sum of its proper divisors (94462050832191).

111031212413121 is a wasteful number, since it uses less digits than its factorization.

111031212413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617983.

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 111031212413121 its reverse (121314212130111), we get a palindrome (232345424543232).

The spelling of 111031212413121 in words is "one hundred eleven trillion, thirty-one billion, two hundred twelve million, four hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 151 231 259 273 407 429 453 481 777 1001 1057 1221 1443 1661 1963 2849 3003 3171 3367 4983 5291 5587 5889 8547 10101 11627 13741 15873 16761 21593 34881 37037 39109 41223 61457 64779 72631 111111 117327 151151 184371 217893 430199 453453 508417 798941 1290597 1525251 2396823 5592587 6617761 16777761 19853283 46324327 72795371 86030893 138972981 218386113 244857157 258092679 509567597 602216251 734571471 946339823 999281911 1528702791 1714000099 1806648753 2693428727 2839019469 2997845733 3183143041 5142000297 6624378761 6994973377 8080286181 9549429123 10992101021 12990664843 18854001089 19873136283 20984920131 22282001287 32976303063 35014573451 36973430707 38971994529 56562003267 66846003861 76944707147 90934653901 105043720353 110920292121 142897313273 230834121441 245102014157 258814014949 272803961703 406707737777 428691939819 480654599191 735306042471 776442044847 1000281192911 1220123213331 1441963797573 2846954164439 3000843578733 3364582194337 5287200591101 8540862493317 10093746583011 15861601773303 37010404137707 111031212413121