Search a number
-
+
11103023223300 = 223521791165717737
BaseRepresentation
bin1010000110010001111111…
…0000010101001000000100
31110022102211210000200021110
42201210133300111020010
52423402442421121200
635340354120445020
72224111160140041
oct241443760251004
943272753020243
1011103023223300
1135a0847177468
1212b3a10019770
1362701a389608
142a5563d261c8
15143c36023b50
hexa191fc15204

11103023223300 has 144 divisors (see below), whose sum is σ = 32308807728960. Its totient is φ = 2943846819840.

The previous prime is 11103023223239. The next prime is 11103023223317. The reversal of 11103023223300 is 332232030111.

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 47 ways as a sum of consecutive naturals, for example, 625972032 + ... + 625989768.

It is an arithmetic number, because the mean of its divisors is an integer number (224366720340).

Almost surely, 211103023223300 is an apocalyptic number.

11103023223300 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 11103023223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16154403864480).

11103023223300 is an abundant number, since it is smaller than the sum of its proper divisors (21205784505660).

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

11103023223300 is a wasteful number, since it uses less digits than its factorization.

11103023223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29590 (or 29583 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11103023223300 its reverse (332232030111), we get a palindrome (11435255253411).

The spelling of 11103023223300 in words is "eleven trillion, one hundred three billion, twenty-three million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 179 300 358 537 716 895 1074 1790 2148 2685 3580 4475 5370 8950 10740 11657 13425 17737 17900 23314 26850 34971 35474 46628 53211 53700 58285 69942 70948 88685 106422 116570 139884 174855 177370 212844 233140 266055 291425 349710 354740 443425 532110 582850 699420 874275 886850 1064220 1165700 1330275 1748550 1773700 2086603 2660550 3174923 3497100 4173206 5321100 6259809 6349846 8346412 9524769 10433015 12519618 12699692 15874615 19049538 20866030 25039236 31299045 31749230 38099076 41732060 47623845 52165075 62598090 63498460 79373075 95247690 104330150 125196180 156495225 158746150 190495380 206760209 208660300 238119225 312990450 317492300 413520418 476238450 620280627 625980900 827040836 952476900 1033801045 1240561254 2067602090 2481122508 3101403135 4135204180 5169005225 6202806270 10338010450 12405612540 15507015675 20676020900 31014031350 37010077411 62028062700 74020154822 111030232233 148040309644 185050387055 222060464466 370100774110 444120928932 555151161165 740201548220 925251935275 1110302322330 1850503870550 2220604644660 2775755805825 3701007741100 5551511611650 11103023223300