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11044344240100 = 2252110443442401
BaseRepresentation
bin1010000010110111011000…
…1101110001011111100100
31110002211101100011110220101
42200231312031301133210
52421422304111140400
635253411322313444
72216633101045213
oct240556615613744
943084340143811
1011044344240100
113578975441926
1212a4574658884
13621628515592
142a2798aa507a
1514244e76356a
hexa0b763717e4

11044344240100 has 18 divisors (see below), whose sum is σ = 23966227001234. Its totient is φ = 4417737696000.

The previous prime is 11044344240089. The next prime is 11044344240133. The reversal of 11044344240100 is 104244344011.

It can be written as a sum of positive squares in 3 ways, for example, as 3769714404 + 11040574525696 = 61398^2 + 3322736^2 .

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 5 ways as a sum of consecutive naturals, for example, 55221721101 + ... + 55221721300.

Almost surely, 211044344240100 is an apocalyptic number.

11044344240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11044344240100 is an abundant number, since it is smaller than the sum of its proper divisors (12921882761134).

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

11044344240100 is a wasteful number, since it uses less digits than its factorization.

11044344240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110443442415 (or 110443442408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 11044344240100 its reverse (104244344011), we get a palindrome (11148588584111).

The spelling of 11044344240100 in words is "eleven trillion, forty-four billion, three hundred forty-four million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 110443442401 220886884802 441773769604 552217212005 1104434424010 2208868848020 2761086060025 5522172120050 11044344240100