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11343401100 = 223252109115631
BaseRepresentation
bin10101001000001111…
…01001000010001100
31002021112121110222200
422210013221002030
5141212402313400
65113332241500
7551046214143
oct124407510214
932245543880
1011343401100
1148a1066159
122246a70290
1310ba110075
1479874075a
15465cc2b00
hex2a41e908c

11343401100 has 108 divisors (see below), whose sum is σ = 35881765920. Its totient is φ = 2997129600.

The previous prime is 11343401087. The next prime is 11343401117. The reversal of 11343401100 is 110434311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40285 + ... + 155915.

Almost surely, 211343401100 is an apocalyptic number.

11343401100 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 11343401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17940882960).

11343401100 is an abundant number, since it is smaller than the sum of its proper divisors (24538364820).

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

11343401100 is a wasteful number, since it uses less digits than its factorization.

11343401100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115760 (or 115750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11343401100 its reverse (110434311), we get a palindrome (11453835411).

The spelling of 11343401100 in words is "eleven billion, three hundred forty-three million, four hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 98100 115631 231262 346893 462524 578155 693786 1040679 1156310 1387572 1734465 2081358 2312620 2890775 3468930 4162716 5203395 5781550 6937860 8672325 10406790 11563100 12603779 17344650 20813580 25207558 26016975 34689300 37811337 50415116 52033950 63018895 75622674 104067900 113434011 126037790 151245348 189056685 226868022 252075580 315094475 378113370 453736044 567170055 630188950 756226740 945283425 1134340110 1260377900 1890566850 2268680220 2835850275 3781133700 5671700550 11343401100