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11102022221121 = 3213278934022617
BaseRepresentation
bin1010000110001110010000…
…0101110011110101000001
31110022100021000110111102200
42201203210011303311001
52423343420142033441
635340110521503413
72224044313563246
oct241434405636501
943270230414380
1011102022221121
1135a0383129737
1212b3790941b69
13626bbab8b230
142a54aadd75cd
15143bc81e57b6
hexa18e4173d41

11102022221121 has 24 divisors (see below), whose sum is σ = 17276004968040. Its totient is φ = 6829563845376.

The previous prime is 11102022221119. The next prime is 11102022221123. The reversal of 11102022221121 is 12112222020111.

It is an interprime number because it is at equal distance from previous prime (11102022221119) and next prime (11102022221123).

It can be written as a sum of positive squares in 4 ways, for example, as 358777040400 + 10743245180721 = 598980^2 + 3277689^2 .

It is not a de Polignac number, because 11102022221121 - 21 = 11102022221119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11102022221094 and 11102022221103.

It is not an unprimeable number, because it can be changed into a prime (11102022221123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16684996 + ... + 17337621.

It is an arithmetic number, because the mean of its divisors is an integer number (719833540335).

Almost surely, 211102022221121 is an apocalyptic number.

It is an amenable number.

11102022221121 is a deficient number, since it is larger than the sum of its proper divisors (6173982746919).

11102022221121 is a wasteful number, since it uses less digits than its factorization.

11102022221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34025425 (or 34025422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11102022221121 its reverse (12112222020111), we get a palindrome (23214244241232).

The spelling of 11102022221121 in words is "eleven trillion, one hundred two billion, twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 2789 8367 25101 36257 108771 326313 34022617 102067851 306203553 442294021 1326882063 3980646189 94889078813 284667236439 854001709317 1233558024569 3700674073707 11102022221121