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111111440241 = 317191032774019
BaseRepresentation
bin110011101111011000…
…0100000011101110001
3101121210112202222202110
41213132300200131301
53310024012041431
6123013251435533
711012305442004
oct1473660403561
9347715688673
10111111440241
114313856966a
121964abb5ba9
13a629854b59
145540a5d53b
152d5498d346
hex19dec20771

111111440241 has 64 divisors (see below), whose sum is σ = 167365785600. Its totient is φ = 65154087936.

The previous prime is 111111440177. The next prime is 111111440243. The reversal of 111111440241 is 142044111111.

It is not a de Polignac number, because 111111440241 - 26 = 111111440177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111111440243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27644530 + ... + 27648548.

It is an arithmetic number, because the mean of its divisors is an integer number (2615090400).

Almost surely, 2111111440241 is an apocalyptic number.

It is an amenable number.

111111440241 is a deficient number, since it is larger than the sum of its proper divisors (56254345359).

111111440241 is a wasteful number, since it uses less digits than its factorization.

111111440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 111111440241 its reverse (142044111111), we get a palindrome (253155551352).

The spelling of 111111440241 in words is "one hundred eleven billion, one hundred eleven million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 17 19 51 57 103 277 309 323 831 969 1751 1957 4019 4709 5253 5263 5871 12057 14127 15789 28531 33269 68323 76361 85593 89471 99807 204969 229083 268413 413957 485027 542089 1113263 1241871 1298137 1455081 1626267 3339789 3894411 7037269 7865183 9215513 18925471 21111807 21151997 23595549 27646539 56776413 63455991 114666089 133708111 343998267 359583949 401124333 1078751847 1949323513 2178655691 5847970539 6535967073 37037146747 111111440241