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111104013141 = 3211192310724001
BaseRepresentation
bin110011101111001010…
…0001011001101010101
3101121210000210122200200
41213132110023031111
53310020111410031
6123012424331113
711012155346442
oct1473624131525
9347700718620
10111104013141
1143134356570
1219648613a99
13a628154414
14553da889c9
152d53ec28e6
hex19de50b355

111104013141 has 96 divisors (see below), whose sum is σ = 194105134080. Its totient is φ = 60445440000.

The previous prime is 111104013121. The next prime is 111104013193. The reversal of 111104013141 is 141310401111.

111104013141 is a `hidden beast` number, since 11 + 110 + 401 + 3 + 141 = 666.

It is not a de Polignac number, because 111104013141 - 229 = 110567142229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111104013121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4617141 + ... + 4641141.

It is an arithmetic number, because the mean of its divisors is an integer number (2021928480).

Almost surely, 2111104013141 is an apocalyptic number.

111104013141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111104013141 is a deficient number, since it is larger than the sum of its proper divisors (83001120939).

111104013141 is a wasteful number, since it uses less digits than its factorization.

111104013141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24167 (or 24164 counting only the distinct ones).

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

Adding to 111104013141 its reverse (141310401111), we get a palindrome (252414414252).

The spelling of 111104013141 in words is "one hundred eleven billion, one hundred four million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 107 171 207 209 253 321 437 627 759 963 1177 1311 1881 2033 2277 2461 3531 3933 4807 6099 7383 10593 14421 18297 22149 22363 24001 27071 43263 46759 67089 72003 81213 140277 201267 216009 243639 264011 420831 456019 514349 552023 792033 1368057 1543047 1656069 2376099 2568107 4104171 4629141 4968207 5016209 6072253 7704321 10488437 15048627 18216759 23112963 28249177 31465311 45145881 48794033 54650277 59066461 84747531 94395933 115372807 146382099 177199383 254242593 346118421 439146297 531598149 536734363 649731071 1038355263 1122262759 1610203089 1949193213 3366788277 4830609267 5847579639 10100364831 12344890349 37034671047 111104013141