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11341332200 = 23521123534229
BaseRepresentation
bin10101000111111111…
…01111111011101000
31002021101201100222202
422203333233323220
5141211340112300
65113220035332
7551022506312
oct124377577350
932241640882
1011341332200
11489a982820
122246232b48
1310b9867473
147983627b2
15465a14ad5
hex2a3fefee8

11341332200 has 192 divisors, whose sum is σ = 30590006400. Its totient is φ = 3869465600.

The previous prime is 11341332157. The next prime is 11341332217. The reversal of 11341332200 is 223314311.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2679686 + ... + 2683914.

It is an arithmetic number, because the mean of its divisors is an integer number (159322950).

Almost surely, 211341332200 is an apocalyptic number.

11341332200 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 11341332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15295003200).

11341332200 is an abundant number, since it is smaller than the sum of its proper divisors (19248674200).

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

11341332200 is a wasteful number, since it uses less digits than its factorization.

11341332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11341332200 its reverse (223314311), we get a palindrome (11564646511).

The spelling of 11341332200 in words is "eleven billion, three hundred forty-one million, three hundred thirty-two thousand, two hundred".