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11343212444100 = 223523710110117931
BaseRepresentation
bin1010010100010000110000…
…1001011111100111000100
31111011101210222102022102010
42211010030021133213010
52441321344341202400
640042555545214220
72250343243626015
oct245041411374704
944141728368363
1011343212444100
1136836a1787029
121332482a91370
13643877a0cbc4
142b302b78d00c
1514a0e28aa450
hexa510c25f9c4

11343212444100 has 144 divisors (see below), whose sum is σ = 34040446646976. Its totient is φ = 2913963840000.

The previous prime is 11343212444099. The next prime is 11343212444119. The reversal of 11343212444100 is 144421234311.

It is a happy number.

It is a super-3 number, since 3×113432124441003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 3937866 + ... + 6180065.

It is an arithmetic number, because the mean of its divisors is an integer number (236391990604).

Almost surely, 211343212444100 is an apocalyptic number.

11343212444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11343212444100 is an abundant number, since it is smaller than the sum of its proper divisors (22697234202876).

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

11343212444100 is a wasteful number, since it uses less digits than its factorization.

11343212444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10118086 (or 10118079 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11343212444100 its reverse (144421234311), we get a palindrome (11487633678411).

The spelling of 11343212444100 in words is "eleven trillion, three hundred forty-three billion, two hundred twelve million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 101 111 148 150 185 202 222 300 303 370 404 444 505 555 606 740 925 1010 1110 1212 1515 1850 2020 2220 2525 2775 3030 3700 3737 5050 5550 6060 7474 7575 10100 11100 11211 14948 15150 18685 22422 30300 37370 44844 56055 74740 93425 112110 186850 224220 280275 373700 560550 1121100 10117931 20235862 30353793 40471724 50589655 60707586 101179310 121415172 151768965 202358620 252948275 303537930 374363447 505896550 607075860 748726894 758844825 1011793100 1021911031 1123090341 1497453788 1517689650 1871817235 2043822062 2246180682 3035379300 3065733093 3743634470 4087644124 4492361364 5109555155 5615451705 6131466186 7487268940 9359086175 10219110310 11230903410 12262932372 15328665465 18718172350 20438220620 22461806820 25547775775 28077258525 30657330930 37436344700 37810708147 51095551550 56154517050 61314661860 75621416294 76643327325 102191103100 112309034100 113432124441 151242832588 153286654650 189053540735 226864248882 306573309300 378107081470 453728497764 567160622205 756214162940 945267703675 1134321244410 1890535407350 2268642488820 2835803111025 3781070814700 5671606222050 11343212444100