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211000221211 = 13267103227797
BaseRepresentation
bin1100010010000010010…
…1111101111000011011
3202011121222010211011211
43010200211331320123
511424112024034321
6240533203003551
721146532200533
oct3044045757033
9664558124154
10211000221211
118153714020a
1234a876695b7
1316b882c3400
14a2d900c4c3
15574e0590e1
hex312097de1b

211000221211 has 48 divisors (see below), whose sum is σ = 235467558144. Its totient is φ = 188925340032.

The previous prime is 211000221209. The next prime is 211000221239. The reversal of 211000221211 is 112122000112.

211000221211 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 211000221211 - 21 = 211000221209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 211000221191 and 211000221200.

It is not an unprimeable number, because it can be changed into a prime (211000221241) 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 47 ways as a sum of consecutive naturals, for example, 264742665 + ... + 264743461.

It is an arithmetic number, because the mean of its divisors is an integer number (4905574128).

Almost surely, 2211000221211 is an apocalyptic number.

211000221211 is a deficient number, since it is larger than the sum of its proper divisors (24467336933).

211000221211 is a wasteful number, since it uses less digits than its factorization.

211000221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211000221211 its reverse (112122000112), we get a palindrome (323122221323).

The spelling of 211000221211 in words is "two hundred eleven billion, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 13 67 103 169 227 797 871 1339 2951 6901 10361 11323 15209 17407 23381 38363 53399 82091 89713 134693 180919 197717 303953 694187 1067183 1166269 1566527 2351947 2570321 3951389 5500097 9024431 12121573 13873379 18634657 20364851 30575311 71501261 157580449 242250541 264743063 929516393 1248522019 2048545837 3149257033 16230786247 211000221211