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11211004400 = 245228027511
BaseRepresentation
bin10100111000011101…
…00101100111110000
31001221022111000212012
422130032211213300
5140430004120100
65052242422052
7544550652011
oct123416454760
931838430765
1011211004400
1148333575a2
12220a661928
13109886571b
14784d19008
1545936e135
hex29c3a59f0

11211004400 has 30 divisors (see below), whose sum is σ = 26934439032. Its totient is φ = 4484401600.

The previous prime is 11211004391. The next prime is 11211004439. The reversal of 11211004400 is 440011211.

11211004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14013356 + ... + 14014155.

Almost surely, 211211004400 is an apocalyptic number.

11211004400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211004400 is an abundant number, since it is smaller than the sum of its proper divisors (15723434632).

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

11211004400 is a wasteful number, since it uses less digits than its factorization.

11211004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28027529 (or 28027518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11211004400 its reverse (440011211), we get a palindrome (11651015611).

The spelling of 11211004400 in words is "eleven billion, two hundred eleven million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28027511 56055022 112110044 140137555 224220088 280275110 448440176 560550220 700687775 1121100440 1401375550 2242200880 2802751100 5605502200 11211004400