Search a number
-
+
1002230210212 = 2271119719998263
BaseRepresentation
bin11101001010110011001…
…00110101111010100100
310112210221010221211202021
432211121210311322210
5112410031413211322
62044230155352524
7132260125140430
oct16453144657244
93483833854667
101002230210212
11357052909930
121422a4a52744
1373682346a5a
14367187099c0
151b10c44e4c7
hexe959935ea4

1002230210212 has 96 divisors (see below), whose sum is σ = 2199149568000. Its totient is φ = 388255835520.

The previous prime is 1002230210197. The next prime is 1002230210221. The reversal of 1002230210212 is 2120120322001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121287193 + ... + 121295455.

It is an arithmetic number, because the mean of its divisors is an integer number (22907808000).

Almost surely, 21002230210212 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 1002230210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099574784000).

1002230210212 is an abundant number, since it is smaller than the sum of its proper divisors (1196919357788).

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

1002230210212 is a wasteful number, since it uses less digits than its factorization.

1002230210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1002230210212 its reverse (2120120322001), we get a palindrome (3122350532213).

The spelling of 1002230210212 in words is "one trillion, two billion, two hundred thirty million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 197 308 394 788 1379 1999 2167 2758 3998 4334 5516 7996 8263 8668 13993 15169 16526 21989 27986 30338 33052 43978 55972 57841 60676 87956 90893 115682 153923 181786 231364 307846 363572 393803 615692 636251 787606 1272502 1575212 1627811 2545004 2756621 3255622 4331833 5513242 6511244 8663666 11026484 11394677 16517737 17327332 17905921 22789354 30322831 33035474 35811842 45578708 60645662 66070948 71623684 115624159 121291324 125341447 181695107 231248318 250682894 363390214 462496636 501365788 726780428 1271865749 2543731498 3253994189 5087462996 6507988378 13015976756 22777959323 35793936079 45555918646 71587872158 91111837292 143175744316 250557552553 501115105106 1002230210212