Search a number
-
+
105304545423 = 337111091273659
BaseRepresentation
bin110001000010010100…
…0111101100010001111
3101001210212002011121000
41202010220331202033
53211130430423143
6120213133511343
710415354603340
oct1420450754217
9331725064530
10105304545423
1140728741640
12184aa342553
139c1279b00c
14514d75a0c7
152b14c9bbd3
hex1884a3d88f

105304545423 has 128 divisors (see below), whose sum is σ = 197885952000. Its totient is φ = 53760309120.

The previous prime is 105304545413. The next prime is 105304545433. The reversal of 105304545423 is 324545403501.

105304545423 is a `hidden beast` number, since 1 + 0 + 530 + 4 + 54 + 54 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (105304545413) and next prime (105304545433).

It is not a de Polignac number, because 105304545423 - 24 = 105304545407 is a prime.

It is a super-2 number, since 2×1053045454232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105304545413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28777768 + ... + 28781426.

It is an arithmetic number, because the mean of its divisors is an integer number (1545984000).

Almost surely, 2105304545423 is an apocalyptic number.

105304545423 is a deficient number, since it is larger than the sum of its proper divisors (92581406577).

105304545423 is a wasteful number, since it uses less digits than its factorization.

105304545423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105304545423 its reverse (324545403501), we get a palindrome (429849948924).

The spelling of 105304545423 in words is "one hundred five billion, three hundred four million, five hundred forty-five thousand, four hundred twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 109 127 189 231 297 327 381 693 763 889 981 1143 1199 1397 2079 2289 2667 2943 3429 3597 3659 4191 6867 8001 8393 9779 10791 10977 12573 13843 20601 24003 25179 25613 29337 32373 32931 37719 40249 41529 75537 76839 88011 96901 98793 120747 124587 152273 226611 230517 264033 281743 290703 362241 373761 398831 456819 464693 691551 845229 872109 1065911 1086723 1196493 1370457 1394079 2535687 2616327 2791817 3197733 3252851 3589479 4111371 4182237 4387141 5111623 7607061 8375451 9593199 9758553 10768437 12546711 13161423 15334869 25126353 28779597 29275659 30709987 35781361 39484269 46004607 50651537 75379059 87826977 92129961 107344083 118452807 138013821 151954611 276389883 322032249 354560759 455863833 557166907 829169649 966096747 1063682277 1367591499 1671500721 3191046831 3900168349 5014502163 9573140493 11700505047 15043506489 35101515141 105304545423