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111334140102141 = 3211431072331049023
BaseRepresentation
bin11001010100000111111111…
…110111110100010111111101
3112121012102212122112010011200
4121110013333313310113331
5104043044304331232031
61032442110424210113
732310424531340565
oct3124077767642775
9477172778463150
10111334140102141
11325245a8681430
12105a1376309939
134a179c23c7068
141d6c85b717da5
15cd10ca95d8e6
hex6541ffdf45fd

111334140102141 has 96 divisors (see below), whose sum is σ = 181971054600192. Its totient is φ = 65009823540480.

The previous prime is 111334140102121. The next prime is 111334140102149. The reversal of 111334140102141 is 141201041433111.

111334140102141 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 41 + 401 + 0 + 214 + 1 = 666.

It is not a de Polignac number, because 111334140102141 - 25 = 111334140102109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111334140102149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105606756 + ... + 106655778.

It is an arithmetic number, because the mean of its divisors is an integer number (1895531818752).

Almost surely, 2111334140102141 is an apocalyptic number.

111334140102141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111334140102141 is a deficient number, since it is larger than the sum of its proper divisors (70636914498051).

111334140102141 is a wasteful number, since it uses less digits than its factorization.

111334140102141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049423 (or 1049420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 111334140102141 its reverse (141201041433111), we get a palindrome (252535181535252).

The spelling of 111334140102141 in words is "one hundred eleven trillion, three hundred thirty-four billion, one hundred forty million, one hundred two thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 43 99 107 129 233 321 387 473 699 963 1177 1419 2097 2563 3531 4257 4601 7689 10019 10593 13803 23067 24931 30057 41409 50611 74793 90171 110209 151833 224379 274241 330627 455499 822723 991881 1049023 1072033 2468169 3147069 3216099 9441207 9648297 11539253 11792363 34617759 35377089 45107989 103853277 106131267 112245461 135323967 244422359 336736383 405971901 496187879 733267077 1010209149 1234700071 1488563637 2199801231 2688645949 3704100213 4465690911 4826554823 8065937847 10510161437 11112300639 14479664469 24197813541 26153192413 31530484311 43438993407 53092103053 78459577239 94591452933 115611775807 159276309159 235378731717 287685116543 346835327421 477828927477 863055349629 1040505982263 1124587273759 2589166048887 3373761821277 10121285463831 12370460011349 37111380034047 111334140102141