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11100211221 = 311437822559
BaseRepresentation
bin10100101011001111…
…11100100000010101
31001122121000011012010
422111213330200111
5140213123224341
65033244014433
7542034144561
oct122547744025
931577004163
1011100211221
114786863a90
122199531419
13107b913328
147743186a1
1544e786716
hex2959fc815

11100211221 has 16 divisors (see below), whose sum is σ = 16521246720. Its totient is φ = 6570948720.

The previous prime is 11100211201. The next prime is 11100211231. The reversal of 11100211221 is 12211200111.

11100211221 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 11100211221 - 25 = 11100211189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11100211197 and 11100211206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100211201) 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, 3909861 + ... + 3912698.

It is an arithmetic number, because the mean of its divisors is an integer number (1032577920).

Almost surely, 211100211221 is an apocalyptic number.

11100211221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11100211221 is a deficient number, since it is larger than the sum of its proper divisors (5421035499).

11100211221 is a wasteful number, since it uses less digits than its factorization.

11100211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7822616.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100211221 its reverse (12211200111), we get a palindrome (23311411332).

The spelling of 11100211221 in words is "eleven billion, one hundred million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 11 33 43 129 473 1419 7822559 23467677 86048149 258144447 336370037 1009110111 3700070407 11100211221