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11343344100 = 22352114379939
BaseRepresentation
bin10101001000001110…
…11011000111100100
31002021112111120210120
422210013123013210
5141212344002400
65113331121540
7551045556024
oct124407330744
932245446716
1011343344100
1148a1027350
122246a432b0
1310ba0c013a
14798727a84
15465cb0ca0
hex2a41db1e4

11343344100 has 144 divisors (see below), whose sum is σ = 36636821760. Its totient is φ = 2685916800.

The previous prime is 11343344083. The next prime is 11343344107. The reversal of 11343344100 is 144334311.

It is not an unprimeable number, because it can be changed into a prime (11343344107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101931 + ... + 181869.

Almost surely, 211343344100 is an apocalyptic number.

11343344100 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 11343344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18318410880).

11343344100 is an abundant number, since it is smaller than the sum of its proper divisors (25293477660).

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

11343344100 is a wasteful number, since it uses less digits than its factorization.

11343344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80010 (or 80003 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11343344100 its reverse (144334311), we get a palindrome (11487678411).

The spelling of 11343344100 in words is "eleven billion, three hundred forty-three million, three hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 43 44 50 55 60 66 75 86 100 110 129 132 150 165 172 215 220 258 275 300 330 430 473 516 550 645 660 825 860 946 1075 1100 1290 1419 1650 1892 2150 2365 2580 2838 3225 3300 4300 4730 5676 6450 7095 9460 11825 12900 14190 23650 28380 35475 47300 70950 79939 141900 159878 239817 319756 399695 479634 799390 879329 959268 1199085 1598780 1758658 1998475 2398170 2637987 3437377 3517316 3996950 4396645 4796340 5275974 5995425 6874754 7993900 8793290 10312131 10551948 11990850 13189935 13749508 17186885 17586580 20624262 21983225 23981700 26379870 34373770 37811147 41248524 43966450 51560655 52759740 65949675 68747540 75622294 85934425 87932900 103121310 113433441 131899350 151244588 171868850 189055735 206242620 226866882 257803275 263798700 343737700 378111470 453733764 515606550 567167205 756222940 945278675 1031213100 1134334410 1890557350 2268668820 2835836025 3781114700 5671672050 11343344100