Search a number
-
+
243341210301112 = 2371112725121123821
BaseRepresentation
bin110111010101000101001010…
…011001100011001010111000
31011220121012012100012120120201
4313111011022121203022320
5223343400244314113422
62221313224142131544
7102153552016342420
oct6725051231431270
91156535170176521
10243341210301112
1170599478360590
12233611a6b80bb4
13a5a1c92c277a1
144413ac5357480
151d1ece3a68727
hexdd514a6632b8

243341210301112 has 128 divisors (see below), whose sum is σ = 573356166266880. Its totient is φ = 94057238016000.

The previous prime is 243341210301067. The next prime is 243341210301143. The reversal of 243341210301112 is 211103012143342.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965204162 + ... + 1965327982.

It is an arithmetic number, because the mean of its divisors is an integer number (4479345048960).

Almost surely, 2243341210301112 is an apocalyptic number.

243341210301112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243341210301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286678083133440).

243341210301112 is an abundant number, since it is smaller than the sum of its proper divisors (330014955965768).

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

243341210301112 is a wasteful number, since it uses less digits than its factorization.

243341210301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149093 (or 149089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 243341210301112 its reverse (211103012143342), we get a palindrome (454444222444454).

The spelling of 243341210301112 in words is "two hundred forty-three trillion, three hundred forty-one billion, two hundred ten million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 127 154 254 308 508 616 889 1016 1397 1778 2794 3556 5588 7112 9779 11176 19558 25121 39116 50242 78232 100484 123821 175847 200968 247642 276331 351694 495284 552662 703388 866747 990568 1105324 1362031 1406776 1733494 1934317 2210648 2724062 3190367 3466988 3868634 5448124 6380734 6933976 7737268 9534217 10896248 12761468 15474536 15725267 19068434 22332569 25522936 31450534 35094037 38136868 44665138 62901068 70188074 76273736 89330276 110076869 125802136 140376148 172977937 178660552 220153738 245658259 280752296 345955874 440307476 491316518 691911748 880614952 982633036 1210845559 1383823496 1965266072 2421691118 3110507341 4843382236 6221014682 9686764472 12442029364 21773551387 24884058728 34215580751 43547102774 68431161502 87094205548 136862323004 174188411096 239509065257 273724646008 395034432307 479018130514 790068864614 958036261028 1580137729228 1916072522056 2765241026149 3160275458456 4345378755377 5530482052298 8690757510754 11060964104596 17381515021508 22121928209192 30417651287639 34763030043016 60835302575278 121670605150556 243341210301112