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11123143321100 = 22521753592092429
BaseRepresentation
bin1010000111011100111100…
…0000011010011000001100
31110101100202222112112201212
42201313033000122120030
52424220144142233400
635353522420153552
72225422601143226
oct241671700323014
943340688475655
1011123143321100
1135a9331474768
1212b78a62388b8
13628ba58c3825
142a6512151416
151445125b4335
hexa1dcf01a60c

11123143321100 has 144 divisors (see below), whose sum is σ = 26480622319200. Its totient is φ = 4038888222720.

The previous prime is 11123143321051. The next prime is 11123143321109. The reversal of 11123143321100 is 112334132111.

It is not an unprimeable number, because it can be changed into a prime (11123143321109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269686 + ... + 6362114.

It is an arithmetic number, because the mean of its divisors is an integer number (183893210550).

Almost surely, 211123143321100 is an apocalyptic number.

11123143321100 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 11123143321100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13240311159600).

11123143321100 is an abundant number, since it is smaller than the sum of its proper divisors (15357478998100).

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

11123143321100 is a wasteful number, since it uses less digits than its factorization.

11123143321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092572 (or 2092565 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 11123143321100 its reverse (112334132111), we get a palindrome (11235477453211).

The spelling of 11123143321100 in words is "eleven trillion, one hundred twenty-three billion, one hundred forty-three million, three hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 59 68 85 100 106 118 170 212 236 265 295 340 425 530 590 850 901 1003 1060 1180 1325 1475 1700 1802 2006 2650 2950 3127 3604 4012 4505 5015 5300 5900 6254 9010 10030 12508 15635 18020 20060 22525 25075 31270 45050 50150 53159 62540 78175 90100 100300 106318 156350 212636 265795 312700 531590 1063180 1328975 2092429 2657950 4184858 5315900 8369716 10462145 20924290 35571293 41848580 52310725 71142586 104621450 110898737 123453311 142285172 177856465 209242900 221797474 246906622 355712930 443594948 493813244 554493685 617266555 711425860 889282325 1108987370 1234533110 1778564650 1885278529 2098706287 2217974740 2469066220 2772468425 3086332775 3557129300 3770557058 4197412574 5544936850 6172665550 6543025483 7541114116 8394825148 9426392645 10493531435 11089873700 12345331100 13086050966 18852785290 20987062870 26172101932 32715127415 37705570580 41974125740 47131963225 52467657175 65430254830 94263926450 104935314350 111231433211 130860509660 163575637075 188527852900 209870628700 222462866422 327151274150 444925732844 556157166055 654302548300 1112314332110 2224628664220 2780785830275 5561571660550 11123143321100