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11112311221 = 114149195009
BaseRepresentation
bin10100101100101100…
…00110100110110101
31001200102202220021021
422112112012212311
5140224222424341
65034355221141
7542242041544
oct122626064665
931612686237
1011112311221
114792678990
1221a15a77b1
13108128b9ab
14775b8815b
154508769d1
hex2965869b5

11112311221 has 16 divisors (see below), whose sum is σ = 12423196800. Its totient is φ = 9851737600.

The previous prime is 11112311207. The next prime is 11112311237. The reversal of 11112311221 is 12211321111.

It is a happy number.

11112311221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11112311221 - 213 = 11112303029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11112311195 and 11112311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112311201) 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, 2215965 + ... + 2220973.

It is an arithmetic number, because the mean of its divisors is an integer number (776449800).

Almost surely, 211112311221 is an apocalyptic number.

11112311221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11112311221 is a deficient number, since it is larger than the sum of its proper divisors (1310885579).

11112311221 is a wasteful number, since it uses less digits than its factorization.

11112311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9980.

The product of its digits is 24, while the sum is 16.

Adding to 11112311221 its reverse (12211321111), we get a palindrome (23323632332).

The spelling of 11112311221 in words is "eleven billion, one hundred twelve million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 11 41 451 4919 5009 54109 55099 201679 205369 2218469 2259059 24639271 271031981 1010210111 11112311221