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112115522142 = 233131573173209
BaseRepresentation
bin110100001101010011…
…0110001101001011110
3101201101112010122012000
41220122212301221132
53314103033202032
6123301040423130
711046220133331
oct1503246615136
9351345118160
10112115522142
1143603320218
121988b317aa6
13a759890c60
1455d8150618
152db2bc8e7c
hex1a1a9b1a5e

112115522142 has 128 divisors (see below), whose sum is σ = 270955843200. Its totient is φ = 34158578688.

The previous prime is 112115522111. The next prime is 112115522191. The reversal of 112115522142 is 241225511211.

112115522142 is a `hidden beast` number, since 1 + 12 + 115 + 522 + 14 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 34936234 + ... + 34939442.

It is an arithmetic number, because the mean of its divisors is an integer number (2116842525).

Almost surely, 2112115522142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112115522142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135477921600).

112115522142 is an abundant number, since it is smaller than the sum of its proper divisors (158840321058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112115522142 is a wasteful number, since it uses less digits than its factorization.

112115522142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707 (or 3701 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The spelling of 112115522142 in words is "one hundred twelve billion, one hundred fifteen million, five hundred twenty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 157 234 314 317 351 471 634 702 942 951 1413 1902 2041 2826 2853 3209 4082 4121 4239 5706 6123 6418 8242 8478 8559 9627 12246 12363 17118 18369 19254 24726 28881 36738 37089 41717 49769 55107 57762 74178 83434 86643 99538 110214 111267 125151 149307 173286 222534 250302 298614 375453 447921 503813 646997 750906 895842 1007626 1017253 1126359 1293994 1343763 1511439 1940991 2034506 2252718 2687526 3022878 3051759 3881982 4534317 5822973 6103518 6549569 9068634 9155277 11645946 13099138 13224289 13602951 17468919 18310554 19648707 26448578 27205902 27465831 34937838 39297414 39672867 54931662 58946121 79345734 117892242 119018601 159708721 176838363 238037202 319417442 353676726 357055803 479126163 714111606 958252326 1437378489 2076213373 2874756978 4152426746 4312135467 6228640119 8624270934 12457280238 18685920357 37371840714 56057761071 112115522142