Search a number
-
+
2002110220212 = 22323311931212439
BaseRepresentation
bin11101001000100111000…
…100011000011110110100
321002101210111121010220020
4131020213010120132310
5230300310204021322
64131431242205140
7264435105036414
oct35104704303664
97071714533806
102002110220212
117020aa02a533
122840327b37b0
13116a4b7c009b
146cc8cc3a644
153712d3b305c
hex1d2271187b4

2002110220212 has 96 divisors (see below), whose sum is σ = 5058028093440. Its totient is φ = 614560573440.

The previous prime is 2002110220171. The next prime is 2002110220213. The reversal of 2002110220212 is 2120220112002.

It is a junction number, because it is equal to n+sod(n) for n = 2002110220191 and 2002110220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002110220213) 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 31 ways as a sum of consecutive naturals, for example, 1045089 + ... + 2257527.

It is an arithmetic number, because the mean of its divisors is an integer number (52687792640).

Almost surely, 22002110220212 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 2002110220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529014046720).

2002110220212 is an abundant number, since it is smaller than the sum of its proper divisors (3055917873228).

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

2002110220212 is a wasteful number, since it uses less digits than its factorization.

2002110220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212693 (or 1212691 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2002110220212 its reverse (2120220112002), we get a palindrome (4122330332214).

The spelling of 2002110220212 in words is "two trillion, two billion, one hundred ten million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 193 276 372 386 579 713 772 1158 1426 2139 2316 2852 4278 4439 5983 8556 8878 11966 13317 17756 17949 23932 26634 35898 53268 71796 137609 275218 412827 550436 825654 1212439 1651308 2424878 3637317 4849756 7274634 14549268 27886097 37585609 55772194 75171218 83658291 111544388 112756827 150342436 167316582 225513654 234000727 334633164 451027308 468001454 702002181 864469007 936002908 1404004362 1728938014 2593407021 2808008724 3457876028 5186814042 5382016721 7254022537 10373628084 10764033442 14508045074 16146050163 21528066884 21762067611 29016090148 32292100326 43524135222 64584200652 87048270444 166842518351 333685036702 500527555053 667370073404 1001055110106 2002110220212