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11033024223340 = 2257312049133481
BaseRepresentation
bin1010000010001101001101…
…1111010101100001101100
31110001202011102120001012101
42200203103133111201230
52421231113200121330
635244300143144444
72216052424354000
oct240432337254154
943052142501171
1011033024223340
1135740965a8779
1212a23355a5124
13620543202202
142a20034d0700
15141edaa5e4ca
hexa08d37d586c

11033024223340 has 96 divisors (see below), whose sum is σ = 27022096080000. Its totient is φ = 3782408878080.

The previous prime is 11033024223337. The next prime is 11033024223373. The reversal of 11033024223340 is 4332242033011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11033024223299 and 11033024223308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82589400 + ... + 82722880.

It is an arithmetic number, because the mean of its divisors is an integer number (281480167500).

Almost surely, 211033024223340 is an apocalyptic number.

11033024223340 is a gapful number since it is divisible by the number (10) 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 11033024223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13511048040000).

11033024223340 is an abundant number, since it is smaller than the sum of its proper divisors (15989071856660).

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

11033024223340 is a wasteful number, since it uses less digits than its factorization.

11033024223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145560 (or 145544 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 11033024223340 its reverse (4332242033011), we get a palindrome (15365266256351).

The spelling of 11033024223340 in words is "eleven trillion, thirty-three billion, twenty-four million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 6860 12049 24098 48196 60245 84343 120490 133481 168686 240980 266962 337372 421715 533924 590401 667405 843430 934367 1180802 1334810 1686860 1868734 2361604 2669620 2952005 3737468 4132807 4671835 5904010 6540569 8265614 9343670 11808020 13081138 16531228 18687340 20664035 26162276 32702845 41328070 45783983 65405690 82656140 91567966 130811380 183135932 228919915 457839830 915679660 1608312569 3216625138 6433250276 8041562845 11258187983 16083125690 22516375966 32166251380 45032751932 56290939915 78807315881 112581879830 157614631762 225163759660 315229263524 394036579405 551651211167 788073158810 1103302422334 1576146317620 2206604844668 2758256055835 5516512111670 11033024223340