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113020312333012 = 22724171719327539
BaseRepresentation
bin11001101100101010010111…
…100100011010101011010100
3112211011122011220001111011021
4121230222113210122223110
5104303211044424124022
61040212451551050524
732543306461664500
oct3154522744325324
9484148156044137
10113020312333012
1133014710973347
1210814115b10a44
134b0aa01104506
141dca2d87c3300
15d0edb731a7c7
hex66ca9791aad4

113020312333012 has 144 divisors (see below), whose sum is σ = 239050167269760. Its totient is φ = 46582135219200.

The previous prime is 113020312333007. The next prime is 113020312333031. The reversal of 113020312333012 is 210333213020311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4103995539 + ... + 4104023077.

It is an arithmetic number, because the mean of its divisors is an integer number (1660070606040).

Almost surely, 2113020312333012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113020312333012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119525083634880).

113020312333012 is an abundant number, since it is smaller than the sum of its proper divisors (126029854936748).

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

113020312333012 is a wasteful number, since it uses less digits than its factorization.

113020312333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34862 (or 34853 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 113020312333012 its reverse (210333213020311), we get a palindrome (323353525353323).

The spelling of 113020312333012 in words is "one hundred thirteen trillion, twenty billion, three hundred twelve million, three hundred thirty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 41 49 71 82 98 142 164 196 284 287 497 574 994 1148 1988 2009 2911 3479 4018 5822 6958 7193 8036 11644 13916 14386 20377 27539 28772 40754 50351 55078 81508 100702 110156 142639 192773 201404 285278 294913 352457 385546 510703 570556 589826 704914 771092 1021406 1129099 1179652 1349411 1409828 1955269 2042812 2064391 2258198 2698822 3574921 3910538 4128782 4516396 5397644 7149842 7821076 7903693 8257564 13686883 14299684 14450737 15807386 20938823 25024447 27373766 28901474 31614772 41877646 50048894 54747532 55325851 57802948 80166029 83755292 95808181 100097788 110651702 146571761 160332058 191616362 198088027 221303404 293143522 320664116 383232724 396176054 561162203 586287044 792352108 1026002327 1122324406 1386616189 2052004654 2244648812 2773232378 3928135421 4104009308 5546464756 7856270842 8121609107 9706313323 14064249917 15712541684 16243218214 19412626646 28128499834 32486436428 38825253292 56256999668 56851263749 98449749419 113702527498 196899498838 227405054996 393798997676 397958846243 576634246597 689148245933 795917692486 1153268493194 1378296491866 1591835384972 2306536986388 2756592983732 4036439726179 8072879452358 16145758904716 28255078083253 56510156166506 113020312333012