Search a number
-
+
2221211021211 = 327133773300037
BaseRepresentation
bin100000010100101010011…
…111100110111110011011
321212100100000102001111200
4200110222133212332123
5242343020010134321
64420224340525243
7316322452106040
oct40245237467633
97770300361450
102221211021211
11787012795186
122ba59b0b0823
131315c8110c70
1479715a151c7
153cba3683d26
hex2052a7e6f9b

2221211021211 has 48 divisors (see below), whose sum is σ = 4055544502464. Its totient is φ = 1139962159872.

The previous prime is 2221211021179. The next prime is 2221211021231. The reversal of 2221211021211 is 1121201121222.

2221211021211 is a `hidden beast` number, since 2 + 221 + 211 + 0 + 21 + 211 = 666.

It is not a de Polignac number, because 2221211021211 - 25 = 2221211021179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2221211021231) 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 47 ways as a sum of consecutive naturals, for example, 36619716 + ... + 36680321.

It is an arithmetic number, because the mean of its divisors is an integer number (84490510468).

Almost surely, 22221211021211 is an apocalyptic number.

2221211021211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2221211021211 is a deficient number, since it is larger than the sum of its proper divisors (1834333481253).

2221211021211 is a wasteful number, since it uses less digits than its factorization.

2221211021211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73300100 (or 73300097 counting only the distinct ones).

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

Adding to 2221211021211 its reverse (1121201121222), we get a palindrome (3342412142433).

The spelling of 2221211021211 in words is "two trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, two hundred eleven".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 73300037 219900111 513100259 659700333 952900481 1539300777 2712101369 2858701443 4617902331 6670303367 8136304107 8576104329 18984709583 20010910101 24408912321 35257317797 56954128749 60032730303 105771953391 170862386247 246801224579 317315860173 740403673737 2221211021211