Search a number
-
+
20200002221022 = 231317163569164251
BaseRepresentation
bin1001001011111001011011…
…11101001111001111011110
32122112002201212221000211020
410211330231331033033132
510121424101032033042
6110543430343505010
74153254612606111
oct445745575171736
978462655830736
1020200002221022
116488855705998
122322a8ba58166
13b36b0cbccb10
144db98475a578
152506ad5e83ec
hex125f2df4f3de

20200002221022 has 128 divisors (see below), whose sum is σ = 46431333527040. Its totient is φ = 5803633152000.

The previous prime is 20200002221011. The next prime is 20200002221051. The reversal of 20200002221022 is 22012220000202.

It is a junction number, because it is equal to n+sod(n) for n = 20200002220992 and 20200002221010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122900397 + ... + 123064647.

It is an arithmetic number, because the mean of its divisors is an integer number (362744793180).

Almost surely, 220200002221022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20200002221022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215666763520).

20200002221022 is an abundant number, since it is smaller than the sum of its proper divisors (26231331306018).

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

20200002221022 is a wasteful number, since it uses less digits than its factorization.

20200002221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165018.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20200002221022 its reverse (22012220000202), we get a palindrome (42212222221224).

The spelling of 20200002221022 in words is "twenty trillion, two hundred billion, two million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 163 221 326 442 489 569 663 978 1138 1326 1707 2119 2771 3414 4238 5542 6357 7397 8313 9673 12714 14794 16626 19346 22191 29019 36023 44382 58038 72046 92747 108069 125749 164251 185494 216138 251498 278241 328502 377247 492753 556482 754494 985506 1205711 1576699 2135263 2411422 2792267 3153398 3617133 4270526 4730097 5584534 6405789 7234266 8376801 9460194 12811578 16753602 20497087 26772913 36299471 40994174 53545826 61491261 72598942 80318739 93458819 108898413 122982522 160637478 186917638 217796826 280376457 348047869 455139521 560752914 696095738 910279042 1044143607 1214964647 1365418563 1588799923 2088287214 2429929294 2730837126 3177599846 3644893941 4766399769 5916813773 7289787882 9532799538 11833627546 15233787497 17750441319 20654398999 30467574994 35500882638 41308797998 45701362491 61963196997 91402724982 123926393994 198039237461 258974387449 396078474922 517948774898 594117712383 776923162347 1188235424766 1553846324694 3366667036837 6733334073674 10100001110511 20200002221022