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11323434300 = 22352127439677
BaseRepresentation
bin10101000101110110…
…11110010100111100
31002020011001001200120
422202323132110330
5141142244344200
65111340254540
7550414413663
oct124273362474
932204031616
1011323434300
114890868872
122240241450
1310b5c3baa9
14795c23dda
1546417b9a0
hex2a2ede53c

11323434300 has 144 divisors (see below), whose sum is σ = 33144545280. Its totient is φ = 2984567040.

The previous prime is 11323434293. The next prime is 11323434349. The reversal of 11323434300 is 343432311.

It is a congruent number.

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, 16725562 + ... + 16726238.

Almost surely, 211323434300 is an apocalyptic number.

11323434300 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 11323434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572272640).

11323434300 is an abundant number, since it is smaller than the sum of its proper divisors (21821110980).

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

11323434300 is a wasteful number, since it uses less digits than its factorization.

11323434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 11323434300 its reverse (343432311), we get a palindrome (11666866611).

The spelling of 11323434300 in words is "eleven billion, three hundred twenty-three million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 439 508 635 677 762 878 1270 1317 1354 1524 1756 1905 2031 2195 2540 2634 2708 3175 3385 3810 4062 4390 5268 6350 6585 6770 7620 8124 8780 9525 10155 10975 12700 13170 13540 16925 19050 20310 21950 26340 32925 33850 38100 40620 43900 50775 55753 65850 67700 85979 101550 111506 131700 167259 171958 203100 223012 257937 278765 297203 334518 343916 429895 515874 557530 594406 669036 836295 859790 891609 1031748 1115060 1188812 1289685 1393825 1486015 1672590 1719580 1783218 2149475 2579370 2787650 2972030 3345180 3566436 4181475 4298950 4458045 5158740 5575300 5944060 6448425 7430075 8362950 8597900 8916090 12896850 14860150 16725900 17832180 22290225 25793700 29720300 37744781 44580450 75489562 89160900 113234343 150979124 188723905 226468686 377447810 452937372 566171715 754895620 943619525 1132343430 1887239050 2264686860 2830858575 3774478100 5661717150 11323434300