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121113302224221 = 3243376694052497
BaseRepresentation
bin11011100010011011100011…
…010110110100110101011101
3120212211022121021022210211100
4123202123203112310311131
5111333310020332133341
61105330403303143313
734340101351021416
oct3342334326646535
9525738537283740
10121113302224221
113565495476313a
121170069ba44b39
135276c210a2c28
1421c9cb509480d
15e0067cd563b6
hex6e26e35b4d5d

121113302224221 has 24 divisors (see below), whose sum is σ = 175368365801720. Its totient is φ = 80545205938176.

The previous prime is 121113302224207. The next prime is 121113302224283. The reversal of 121113302224221 is 122422203311121.

121113302224221 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 13 + 3 + 0 + 222 + 422 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55870930798596 + 65242371425625 = 7474686^2 + 8077275^2 .

It is not a de Polignac number, because 121113302224221 - 29 = 121113302223709 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121113302224721) 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, 27859845 + ... + 31912341.

Almost surely, 2121113302224221 is an apocalyptic number.

It is an amenable number.

121113302224221 is a deficient number, since it is larger than the sum of its proper divisors (54255063577499).

121113302224221 is a wasteful number, since it uses less digits than its factorization.

121113302224221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060605 (or 4060602 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 121113302224221 its reverse (122422203311121), we get a palindrome (243535505535342).

The spelling of 121113302224221 in words is "one hundred twenty-one trillion, one hundred thirteen billion, three hundred two million, two hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 433 1299 3897 7669 23007 69021 3320677 4052497 9962031 12157491 29886093 36472473 1754731201 5264193603 15792580809 31078599493 93235798479 279707395437 13457033580469 40371100741407 121113302224221