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11103212241 = 331171526543
BaseRepresentation
bin10100101011100110…
…11001001011010001
31001122210122121211000
422111303121023101
5140214410242431
65033432212213
7542101514112
oct122563311321
931583577730
1011103212241
114788523770
12219a53a069
13107c424294
1477489a209
1544eb7a9e6
hex295cd92d1

11103212241 has 32 divisors (see below), whose sum is σ = 18197360640. Its totient is φ = 6634429200.

The previous prime is 11103212213. The next prime is 11103212269. The reversal of 11103212241 is 14221230111.

11103212241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11103212213) and next prime (11103212269).

It is not a de Polignac number, because 11103212241 - 25 = 11103212209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11103212201) 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 31 ways as a sum of consecutive naturals, for example, 242185 + ... + 284358.

It is an arithmetic number, because the mean of its divisors is an integer number (568667520).

Almost surely, 211103212241 is an apocalyptic number.

11103212241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11103212241 is a deficient number, since it is larger than the sum of its proper divisors (7094148399).

11103212241 is a wasteful number, since it uses less digits than its factorization.

11103212241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526634 (or 526628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11103212241 its reverse (14221230111), we get a palindrome (25324442352).

The spelling of 11103212241 in words is "eleven billion, one hundred three million, two hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 11 27 33 71 99 213 297 639 781 1917 2343 7029 21087 526543 1579629 4738887 5791973 14216661 17375919 37384553 52127757 112153659 156383271 336460977 411230083 1009382931 1233690249 3701070747 11103212241