Search a number
-
+
212221222122213 = 32613659105646243
BaseRepresentation
bin110000010000001110011010…
…100011101111001011100101
31000211102011001212011100121200
4300100032122203233023211
5210304013030330402323
62031205030013233113
762462322502334463
oct6020163243571345
91024364055140550
10212221222122213
1161690573323927
121b975a89a92799
1391554b59140a5
143a597c2017833
15198056360a443
hexc1039a8ef2e5

212221222122213 has 24 divisors (see below), whose sum is σ = 311652193950240. Its totient is φ = 139123423164960.

The previous prime is 212221222122211. The next prime is 212221222122229. The reversal of 212221222122213 is 312221222122212.

212221222122213 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 212 + 221 + 2 + 221 + 3 = 666.

It is not a de Polignac number, because 212221222122213 - 21 = 212221222122211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212221222122211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50814331 + ... + 54831912.

It is an arithmetic number, because the mean of its divisors is an integer number (12985508081260).

Almost surely, 2212221222122213 is an apocalyptic number.

It is an amenable number.

212221222122213 is a deficient number, since it is larger than the sum of its proper divisors (99430971828027).

212221222122213 is a wasteful number, since it uses less digits than its factorization.

212221222122213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105649969 (or 105649966 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 212221222122213 its reverse (312221222122212), we get a palindrome (524442444244425).

Subtracting 212221222122213 from its reverse (312221222122212), we obtain a palindrome (99999999999999).

The spelling of 212221222122213 in words is "two hundred twelve trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 61 183 549 3659 10977 32931 223199 669597 2008791 105646243 316938729 950816187 6444420823 19333262469 57999787407 386559603137 1159678809411 3479036428233 23580135791357 70740407374071 212221222122213