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113403103242 = 2311131813132333
BaseRepresentation
bin110100110011101011…
…0100000100000001010
3101211201020221112101220
41221213112200200022
53324222143300432
6124032514022510
711123143321152
oct1514726404012
9354636845356
10113403103242
1144104105a30
1219b8a577a36
13a90356b370
1456bb15b762
152e3ac6472c
hex1a675a080a

113403103242 has 128 divisors (see below), whose sum is σ = 268900998912. Its totient is φ = 31431628800.

The previous prime is 113403103241. The next prime is 113403103259. The reversal of 113403103242 is 242301304311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (113403103241) 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, 48607108 + ... + 48609440.

It is an arithmetic number, because the mean of its divisors is an integer number (2100789054).

Almost surely, 2113403103242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113403103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134450499456).

113403103242 is an abundant number, since it is smaller than the sum of its proper divisors (155497895670).

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

113403103242 is a wasteful number, since it uses less digits than its factorization.

113403103242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113403103242 its reverse (242301304311), we get a palindrome (355704407553).

The spelling of 113403103242 in words is "one hundred thirteen billion, four hundred three million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 181 286 313 362 429 543 626 858 939 1086 1878 1991 2333 2353 3443 3982 4069 4666 4706 5973 6886 6999 7059 8138 10329 11946 12207 13998 14118 20658 24414 25663 25883 30329 44759 51326 51766 56653 60658 76989 77649 89518 90987 113306 134277 153978 155298 169959 181974 268554 333619 339918 422273 623183 667238 730229 736489 844546 1000857 1246366 1266819 1460458 1472978 1869549 2001714 2190687 2209467 2533638 3739098 4381374 4418934 4645003 5489549 8032519 8101379 9290006 9492977 10979098 13935009 16065038 16202758 16468647 18985954 24097557 24304137 27870018 28478931 32937294 48195114 48608274 56957862 60385039 104422747 120770078 132171449 181155117 208845494 264342898 313268241 362310234 396514347 626536482 793028694 1453885939 1718228837 2907771878 3436457674 4361657817 5154686511 8723315634 10309373022 18900517207 37801034414 56701551621 113403103242