Search a number
-
+
313022200123220 = 2257444314714627
BaseRepresentation
bin100011100101100010010100…
…1000010111000111101010100
31112001022122000022220020001112
41013023010221002320331110
5312012023431212420340
63025424225154314152
7122635051632260000
oct10713045102707524
91461278008806045
10313022200123220
1190813a73552395
122b135971588958
1310587b36510603
1457424d9013700
15262c65bea5065
hex11cb1290b8f54

313022200123220 has 120 divisors (see below), whose sum is σ = 768589870626144. Its totient is φ = 107079628289088.

The previous prime is 313022200123187. The next prime is 313022200123231. The reversal of 313022200123220 is 22321002220313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13915547 + ... + 28630173.

Almost surely, 2313022200123220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313022200123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384294935313072).

313022200123220 is an abundant number, since it is smaller than the sum of its proper divisors (455567670502924).

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

313022200123220 is a wasteful number, since it uses less digits than its factorization.

313022200123220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715107 (or 14715084 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 313022200123220 its reverse (22321002220313), we get a palindrome (335343202343533).

The spelling of 313022200123220 in words is "three hundred thirteen trillion, twenty-two billion, two hundred million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 443 490 686 886 980 1372 1715 1772 2215 2401 3101 3430 4430 4802 6202 6860 8860 9604 12005 12404 15505 21707 24010 31010 43414 48020 62020 86828 108535 151949 217070 303898 434140 607796 759745 1063643 1519490 2127286 3038980 4254572 5318215 10636430 14714627 21272860 29429254 58858508 73573135 103002389 147146270 206004778 294292540 412009556 515011945 721016723 1030023890 1442033446 2060047780 2884066892 3605083615 5047117061 6518579761 7210167230 10094234122 13037159522 14420334460 20188468244 25235585305 26074319044 32592898805 35329819427 45630058327 50471170610 65185797610 70659638854 91260116654 100942341220 130371595220 141319277708 176649097135 182520233308 228150291635 319410408289 353298194270 456300583270 638820816578 706596388540 912601166540 1277641633156 1597052041445 2235872858023 3194104082890 4471745716046 6388208165780 8943491432092 11179364290115 15651110006161 22358728580230 31302220012322 44717457160460 62604440024644 78255550030805 156511100061610 313022200123220