Search a number
-
+
203121110203209 = 3211197233169926309
BaseRepresentation
bin101110001011110011010001…
…100111101011101101001001
3222122012012002102010010000100
4232023303101213223231021
5203110414013203000314
62000000314433000013
760533005315314222
oct5613632147535511
9878165072103010
10203121110203209
11597a21a7398260
121a9462949b3009
138945313cba003
14382318549a249
1518739a5e87c09
hexb8bcd19ebb49

203121110203209 has 96 divisors (see below), whose sum is σ = 323277452784000. Its totient is φ = 121876739066880.

The previous prime is 203121110203133. The next prime is 203121110203223. The reversal of 203121110203209 is 902302011121302.

203121110203209 is a `hidden beast` number, since 2 + 0 + 31 + 211 + 10 + 203 + 209 = 666.

It is not a de Polignac number, because 203121110203209 - 211 = 203121110201161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (203121110203229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7720580947 + ... + 7720607255.

It is an arithmetic number, because the mean of its divisors is an integer number (3367473466500).

Almost surely, 2203121110203209 is an apocalyptic number.

It is an amenable number.

203121110203209 is a deficient number, since it is larger than the sum of its proper divisors (120156342580791).

203121110203209 is a wasteful number, since it uses less digits than its factorization.

203121110203209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28455 (or 28452 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 203121110203209 in words is "two hundred three trillion, one hundred twenty-one billion, one hundred ten million, two hundred three thousand, two hundred nine".

Divisors: 1 3 9 11 33 99 197 233 591 699 1699 1773 2097 2167 2563 5097 6501 7689 15291 18689 19503 23067 26309 45901 56067 78927 137703 168201 236781 289399 334703 395867 413109 504911 868197 1004109 1187601 1514733 2604591 3012327 3562803 3681733 4354537 4544199 5182873 6129997 11045199 13063611 15548619 18389991 33135597 39190833 44698991 46645857 55169973 57011603 67429967 77985799 134096973 171034809 202289901 233957397 402290919 491688901 513104427 606869703 701872191 857843789 1207609409 1475066703 2573531367 3622828227 4425200109 7720594101 8805701227 10414864903 10868484681 13283703499 26417103681 31244594709 39851110497 79251311043 93733784127 96862713497 114563513933 119553331491 290588140491 343690541799 871764421473 1031071625397 2051728385891 6155185157673 18465555473019 22569012244801 67707036734403 203121110203209