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11121220122221 = 112173968954833
BaseRepresentation
bin1010000111010101110001…
…0111111111011001101101
31110101011210221200220211202
42201311130113333121231
52424202224322402341
635353003515255245
72225324126212346
oct241653427773155
943334727626752
1011121220122221
1135a8534913a00
1212b744a14a525
1362895a329821
142a63ac9690cd
1514444d82279b
hexa1d5c5ff66d

11121220122221 has 24 divisors (see below), whose sum is σ = 12296304067320. Its totient is φ = 10050538910720.

The previous prime is 11121220122217. The next prime is 11121220122239. The reversal of 11121220122221 is 12222102212111.

It can be written as a sum of positive squares in 4 ways, for example, as 4281630024100 + 6839590098121 = 2069210^2 + 2615261^2 .

It is not a de Polignac number, because 11121220122221 - 22 = 11121220122217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11121220122193 and 11121220122202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121220322221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202792421 + ... + 202847253.

It is an arithmetic number, because the mean of its divisors is an integer number (512346002805).

Almost surely, 211121220122221 is an apocalyptic number.

11121220122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11121220122221 is a deficient number, since it is larger than the sum of its proper divisors (1175083945099).

11121220122221 is a wasteful number, since it uses less digits than its factorization.

11121220122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64717 (or 64706 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11121220122221 its reverse (12222102212111), we get a palindrome (23343322334332).

The spelling of 11121220122221 in words is "eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 121 173 1903 9689 20933 54833 106579 603163 1172369 1676197 6634793 9486109 18438167 104347199 202819837 531276937 1147819189 5844046307 64284509377 91910910101 1011020011111 11121220122221