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211121102131313 = 1126517326771861
BaseRepresentation
bin110000000000001101110110…
…010011000001000001110001
31000200111222110121022102022112
4300000031312103001001301
5210133002004121200223
62025003410112015105
762316665502604313
oct6000156623010161
91020458417272275
10211121102131313
11612a6a58267a00
121b818825b31495
1390a58330160aa
143a1c45ca377b3
151961b27356778
hexc003764c1071

211121102131313 has 12 divisors (see below), whose sum is σ = 232062301420404. Its totient is φ = 191925322591200.

The previous prime is 211121102131223. The next prime is 211121102131319. The reversal of 211121102131313 is 313131201121112.

It can be written as a sum of positive squares in 2 ways, for example, as 1372850425969 + 209748251705344 = 1171687^2 + 14482688^2 .

It is not a de Polignac number, because 211121102131313 - 230 = 211120028389489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211121102131319) 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 11 ways as a sum of consecutive naturals, for example, 5499998 + ... + 21271863.

It is an arithmetic number, because the mean of its divisors is an integer number (19338525118367).

Almost surely, 2211121102131313 is an apocalyptic number.

It is an amenable number.

211121102131313 is a deficient number, since it is larger than the sum of its proper divisors (20941199289091).

211121102131313 is a wasteful number, since it uses less digits than its factorization.

211121102131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26837056 (or 26837045 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

Adding to 211121102131313 its reverse (313131201121112), we get a palindrome (524252303252425).

The spelling of 211121102131313 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 11 121 65173 716903 7885933 26771861 294490471 3239395181 1744802496953 19192827466483 211121102131313