Search a number
-
+
221000201011002 = 237216934339102329
BaseRepresentation
bin110010001111111110011110…
…011110011111111100111010
31001222111102010222202101222010
4302033332132132133330322
5212431331402424323002
62102010031334310350
764356511000553400
oct6217763636377472
91058442128671863
10221000201011002
1164465728009876
12209533a01b83b6
1396412ca38a96a
143c80676c91470
151a83ac814546c
hexc8ff9e79ff3a

221000201011002 has 96 divisors (see below), whose sum is σ = 514591029691200. Its totient is φ = 63090457742592.

The previous prime is 221000201011001. The next prime is 221000201011013. The reversal of 221000201011002 is 200110102000122.

It is not an unprimeable number, because it can be changed into a prime (221000201011001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2159651374 + ... + 2159753702.

It is an arithmetic number, because the mean of its divisors is an integer number (5360323225950).

Almost surely, 2221000201011002 is an apocalyptic number.

221000201011002 is an abundant number, since it is smaller than the sum of its proper divisors (293590828680198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221000201011002 is a wasteful number, since it uses less digits than its factorization.

221000201011002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108380 (or 108373 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221000201011002 its reverse (200110102000122), we get a palindrome (421110303011124).

The spelling of 221000201011002 in words is "two hundred twenty-one trillion, two hundred one million, eleven thousand, two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1693 3386 4339 5079 8678 10158 11851 13017 23702 26034 30373 35553 60746 71106 82957 91119 102329 165914 182238 204658 212611 248871 306987 425222 497742 613974 637833 716303 1275666 1432606 2148909 4297818 5014121 7345927 10028242 14691854 15042363 22037781 30084726 44075562 51421489 102842978 154264467 173242997 308528934 346485994 359950423 444005531 519728991 719900846 888011062 1039457982 1079851269 1212700979 1332016593 2159702538 2425401958 2664033186 3108038717 3638102937 6216077434 7276205874 8488906853 9324116151 16977813706 18648232302 21756271019 25466720559 43512542038 50933441118 65268813057 130537626114 751701363983 1503402727966 2255104091949 4510208183898 5261909547881 10523819095762 15785728643643 31571457287286 36833366835167 73666733670334 110500100505501 221000201011002