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111101122220013 = 331717911811144993
BaseRepresentation
bin11001010000101110111110…
…111011001000111111101101
3112120101011102020021020022000
4121100232332323020333231
5104030240044242020023
61032143052334242513
732254535244123552
oct3120567673107755
9476334366236260
10111101122220013
11324447a3102742
1210564185056439
1349cba3870a133
141d6147448ca29
15cc9edd988243
hex650bbeec8fed

111101122220013 has 64 divisors (see below), whose sum is σ = 175398424876800. Its totient is φ = 69262306467840.

The previous prime is 111101122220003. The next prime is 111101122220041. The reversal of 111101122220013 is 310022221101111.

It is a happy number.

It is not a de Polignac number, because 111101122220013 - 245 = 75916750131181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101122220003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96459645 + ... + 97604637.

It is an arithmetic number, because the mean of its divisors is an integer number (2740600388700).

Almost surely, 2111101122220013 is an apocalyptic number.

It is an amenable number.

111101122220013 is a deficient number, since it is larger than the sum of its proper divisors (64297302656787).

111101122220013 is a wasteful number, since it uses less digits than its factorization.

111101122220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146379 (or 1146373 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111101122220013 its reverse (310022221101111), we get a palindrome (421123343321124).

The spelling of 111101122220013 in words is "one hundred eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred twenty thousand, thirteen".

Divisors: 1 3 9 17 27 51 153 179 459 537 1181 1611 3043 3543 4833 9129 10629 20077 27387 31887 60231 82161 180693 211399 542079 634197 1144993 1902591 3434979 3593783 5707773 10304937 10781349 19464881 30914811 32344047 58394643 97032141 175183929 204953747 525551787 614861241 1352236733 1844583723 3484213699 4056710199 5533751169 10452641097 12170130597 22988024461 31357923291 36510391791 68964073383 94073769873 206892220149 242050375207 620676660447 726151125621 2178453376863 4114856378519 6535360130589 12344569135557 37033707406671 111101122220013