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211221302211 = 3317460177129
BaseRepresentation
bin1100010010110111000…
…1010100101111000011
3202012012101010220022000
43010231301110233003
511430040123132321
6241011141315043
721155155305543
oct3045561245703
9665171126260
10211221302211
118163aa11687
1234b29705a83
1316bc204bb7a
14a31a51b323
155763679826
hex312dc54bc3

211221302211 has 16 divisors (see below), whose sum is σ = 331327533600. Its totient is φ = 132531012864.

The previous prime is 211221302161. The next prime is 211221302213. The reversal of 211221302211 is 112203122112.

211221302211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211221302211 - 211 = 211221300163 is a prime.

It is a super-2 number, since 2×2112213022112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211221302213) 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 15 ways as a sum of consecutive naturals, for example, 230088106 + ... + 230089023.

It is an arithmetic number, because the mean of its divisors is an integer number (20707970850).

Almost surely, 2211221302211 is an apocalyptic number.

211221302211 is a deficient number, since it is larger than the sum of its proper divisors (120106231389).

211221302211 is a wasteful number, since it uses less digits than its factorization.

211221302211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460177155 (or 460177149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211221302211 its reverse (112203122112), we get a palindrome (323424424323).

The spelling of 211221302211 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred two thousand, two hundred eleven".

Divisors: 1 3 9 17 27 51 153 459 460177129 1380531387 4141594161 7823011193 12424782483 23469033579 70407100737 211221302211