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11100414441 = 319238981517
BaseRepresentation
bin10100101011010001…
…01110000111101001
31001122121101110221210
422111220232013221
5140213201230231
65033252223333
7542035652214
oct122550560751
931577343853
1011100414441
114786992736
12219960ab49
13107b98498c
1477436c77b
1544e7c6a46
hex295a2e1e9

11100414441 has 16 divisors (see below), whose sum is σ = 15586241600. Its totient is φ = 7007767488.

The previous prime is 11100414433. The next prime is 11100414463. The reversal of 11100414441 is 14441400111.

11100414441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11100414441 - 23 = 11100414433 is a prime.

It is a super-2 number, since 2×111004144412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11100414421) 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 15 ways as a sum of consecutive naturals, for example, 95415 + ... + 176931.

It is an arithmetic number, because the mean of its divisors is an integer number (974140100).

Almost surely, 211100414441 is an apocalyptic number.

It is an amenable number.

11100414441 is a deficient number, since it is larger than the sum of its proper divisors (4485827159).

11100414441 is a wasteful number, since it uses less digits than its factorization.

11100414441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83928.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11100414441 its reverse (14441400111), we get a palindrome (25541814552).

The spelling of 11100414441 in words is "eleven billion, one hundred million, four hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 19 57 2389 7167 45391 81517 136173 244551 1548823 4646469 194744113 584232339 3700138147 11100414441