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4112134124010 = 23511191361481883
BaseRepresentation
bin111011110101101110010…
…010110011000111101010
3112120010010200211102002020
4323311232102303013222
51014333122313432020
612425031025245310
7603043342223343
oct73655622630752
915503120742066
104112134124010
111345a45567730
12564b61493836
1323aa074a05c3
14103057b330ca
1571e7560ac40
hex3bd6e4b31ea

4112134124010 has 128 divisors (see below), whose sum is σ = 11341313418240. Its totient is φ = 943717708800.

The previous prime is 4112134123987. The next prime is 4112134124011. The reversal of 4112134124010 is 104214312114.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4112134124011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8292529 + ... + 8774411.

It is an arithmetic number, because the mean of its divisors is an integer number (88604011080).

Almost surely, 24112134124010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112134124010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5670656709120).

4112134124010 is an abundant number, since it is smaller than the sum of its proper divisors (7229179294230).

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

4112134124010 is a wasteful number, since it uses less digits than its factorization.

4112134124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483284.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4112134124010 its reverse (104214312114), we get a palindrome (4216348436124).

The spelling of 4112134124010 in words is "four trillion, one hundred twelve billion, one hundred thirty-four million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 1361 2090 2722 3135 4083 6270 6805 8166 13610 14971 20415 25859 29942 40830 44913 51718 74855 77577 89826 129295 149710 155154 224565 258590 284449 387885 449130 481883 568898 775770 853347 963766 1422245 1445649 1706694 2409415 2844490 2891298 4266735 4818830 5300713 7228245 8533470 9155777 10601426 14456490 15902139 18311554 26503565 27467331 31804278 45778885 53007130 54934662 79510695 91557770 100713547 137336655 159021390 201427094 274673310 302140641 503567735 604281282 655842763 1007135470 1311685526 1510703205 1967528289 3021406410 3279213815 3935056578 6558427630 7214270393 9837641445 12461012497 14428540786 19675282890 21642811179 24922024994 36071351965 37383037491 43285622358 62305062485 72142703930 74766074982 108214055895 124610124970 137071137467 186915187455 216428111790 274142274934 373830374910 411213412401 685355687335 822426824802 1370711374670 2056067062005 4112134124010