Search a number
-
+
11000123104012 = 22724144915712311
BaseRepresentation
bin1010000000010010101001…
…1011100001101100001100
31102221121020111022000021021
42200010222123201230030
52420211223003312022
635221215314043524
72213506206433210
oct240045233415414
942847214260237
1011000123104012
1135611427a0869
121297a92b795a4
1361a3cba96a73
142a05a1a5c940
151412123c47c7
hexa012a6e1b0c

11000123104012 has 96 divisors (see below), whose sum is σ = 22164415257600. Its totient is φ = 4679313408000.

The previous prime is 11000123104007. The next prime is 11000123104027. The reversal of 11000123104012 is 21040132100011.

It is a super-2 number, since 2×110001231040122 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4759896337 + ... + 4759898647.

It is an arithmetic number, because the mean of its divisors is an integer number (230879325600).

Almost surely, 211000123104012 is an apocalyptic number.

It is an amenable number.

11000123104012 is an abundant number, since it is smaller than the sum of its proper divisors (11164292153588).

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

11000123104012 is a wasteful number, since it uses less digits than its factorization.

11000123104012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11000123104012 its reverse (21040132100011), we get a palindrome (32040255204023).

It can be divided in two parts, 1100012 and 3104012, that added together give a palindrome (4204024).

The spelling of 11000123104012 in words is "eleven trillion, one hundred twenty-three million, one hundred four thousand, twelve".

Divisors: 1 2 4 7 14 28 241 449 482 898 964 1571 1687 1796 2311 3142 3143 3374 4622 6284 6286 6748 9244 10997 12572 16177 21994 32354 43988 64708 108209 216418 378611 432836 556951 705379 757222 757463 1037639 1113902 1410758 1514444 1514926 2075278 2227804 2650277 2821516 3029852 3630581 3898657 4150556 4937653 5300554 7261162 7263473 7797314 9875306 10601108 14522324 14526946 15594628 19750612 25414067 29053892 50828134 101656268 169996339 250070999 339992678 500141998 679985356 874970021 1000283996 1189974373 1630130869 1749940042 1750496993 2379948746 3260261738 3499880084 3500993986 4759897492 6124790147 6520523476 7001987972 11410916083 12249580294 22821832166 24499160588 45643664332 392861539429 785723078858 1571446157716 2750030776003 5500061552006 11000123104012