Search a number
-
+
20321020010220 = 22352339473730777
BaseRepresentation
bin1001001111011010110110…
…01011011101111011101100
32122221200002211020200121220
410213231123023131323230
510130414422110311340
6111115203035023340
74165100551053006
oct447553313357354
978850084220556
1020321020010220
116525107034106
12234242459ab50
13b45357c123c7
14503784d21376
152538e2ae5ed0
hex127b5b2ddeec

20321020010220 has 96 divisors (see below), whose sum is σ = 59387777745408. Its totient is φ = 5182018017792.

The previous prime is 20321020010191. The next prime is 20321020010281. The reversal of 20321020010220 is 2201002012302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20321020010220.

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, 3581472 + ... + 7312248.

It is an arithmetic number, because the mean of its divisors is an integer number (618622684848).

Almost surely, 220321020010220 is an apocalyptic number.

20321020010220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321020010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29693888872704).

20321020010220 is an abundant number, since it is smaller than the sum of its proper divisors (39066757735188).

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

20321020010220 is a wasteful number, since it uses less digits than its factorization.

20321020010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734759 (or 3734757 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20321020010220 its reverse (2201002012302), we get a palindrome (22522022022522).

The spelling of 20321020010220 in words is "twenty trillion, three hundred twenty-one billion, twenty million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 3947 7894 11841 15788 19735 23682 39470 47364 59205 78940 90781 118410 181562 236820 272343 363124 453905 544686 907810 1089372 1361715 1815620 2723430 3730777 5446860 7461554 11192331 14923108 18653885 22384662 37307770 44769324 55961655 74615540 85807871 111923310 171615742 223846620 257423613 343231484 429039355 514847226 858078710 1029694452 1287118065 1716157420 2574236130 5148472260 14725376819 29450753638 44176130457 58901507276 73626884095 88352260914 147253768190 176704521828 220880652285 294507536380 338683666837 441761304570 677367333674 883522609140 1016051000511 1354734667348 1693418334185 2032102001022 3386836668370 4064204002044 5080255002555 6773673336740 10160510005110 20321020010220