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11421341300 = 2252374175289
BaseRepresentation
bin10101010001100001…
…11101011001110100
31002110222021020211202
422220300331121310
5141342330410200
65125154552032
7553013541065
oct125060753164
932428236752
1011421341300
11493105a846
122268b98618
1311002cba25
147a4c2c56c
1546ca6b1d5
hex2a8c3d674

11421341300 has 72 divisors (see below), whose sum is σ = 26075336280. Its totient is φ = 4336588800.

The previous prime is 11421341293. The next prime is 11421341303. The reversal of 11421341300 is 314312411.

11421341300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 4767350116 + 6653991184 = 69046^2 + 81572^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11421341303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114056 + ... + 189344.

Almost surely, 211421341300 is an apocalyptic number.

11421341300 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 11421341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13037668140).

11421341300 is an abundant number, since it is smaller than the sum of its proper divisors (14653994980).

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

11421341300 is a wasteful number, since it uses less digits than its factorization.

11421341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75381 (or 75374 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11421341300 its reverse (314312411), we get a palindrome (11735653711).

The spelling of 11421341300 in words is "eleven billion, four hundred twenty-one million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 41 50 74 82 100 148 164 185 205 370 410 740 820 925 1025 1517 1850 2050 3034 3700 4100 6068 7585 15170 30340 37925 75289 75850 150578 151700 301156 376445 752890 1505780 1882225 2785693 3086849 3764450 5571386 6173698 7528900 11142772 12347396 13928465 15434245 27856930 30868490 55713860 61736980 69642325 77171225 114213413 139284650 154342450 228426826 278569300 308684900 456853652 571067065 1142134130 2284268260 2855335325 5710670650 11421341300