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220211211033 = 331117613971801
BaseRepresentation
bin1100110100010110011…
…1000110101100011001
3210001101220020120211000
43031011213012230121
512101443032223113
6245055202255213
721624016260342
oct3150547065431
9701356216730
10220211211033
11854335401a0
1236818357509
13179c56a7c48
14a9304670c9
155adca11373
hex33459c6b19

220211211033 has 128 divisors (see below), whose sum is σ = 384187553280. Its totient is φ = 123171840000.

The previous prime is 220211210993. The next prime is 220211211047. The reversal of 220211211033 is 330112112022.

220211211033 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 220211211033 - 218 = 220210948889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220211210997 and 220211211015.

It is not an unprimeable number, because it can be changed into a prime (220211211053) 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 127 ways as a sum of consecutive naturals, for example, 122270733 + ... + 122272533.

It is an arithmetic number, because the mean of its divisors is an integer number (3001465260).

Almost surely, 2220211211033 is an apocalyptic number.

It is an amenable number.

220211211033 is a deficient number, since it is larger than the sum of its proper divisors (163976342247).

220211211033 is a wasteful number, since it uses less digits than its factorization.

220211211033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 220211211033 its reverse (330112112022), we get a palindrome (550323323055).

The spelling of 220211211033 in words is "two hundred twenty billion, two hundred eleven million, two hundred eleven thousand, thirty-three".

Divisors: 1 3 9 11 17 27 33 51 61 99 153 183 187 297 397 459 549 561 671 1037 1191 1647 1683 1801 2013 3111 3573 4367 5049 5403 6039 6749 9333 10719 11407 13101 16209 18117 19811 20247 24217 27999 30617 34221 39303 48627 59433 60741 72651 74239 91851 102663 109861 117909 178299 182223 217953 222717 266387 275553 307989 329583 336787 411689 534897 653859 668151 714997 799161 826659 988749 1010361 1208471 1235067 1867637 2004453 2144991 2397483 2966247 3031083 3625413 3705201 4528579 5602911 6434973 7192449 7864967 9093249 10876239 11115603 12154949 13585737 16808733 19304919 20544007 23594901 32628717 36464847 40757211 43614817 50426199 61632021 70784703 109394541 122271633 130844451 133704439 184896063 212354109 328183623 392533353 401113317 479762987 554688189 741451889 1177600059 1203339951 1439288961 2224355667 3610019853 4317866883 6673067001 8155970779 12953600649 20019201003 24467912337 73403737011 220211211033