Search a number
-
+
206112320235330 = 235173891850356149
BaseRepresentation
bin101110110111010101000011…
…101000011010011101000010
31000000210010220222111202100120
4232313111003220122131002
5204003421012440012310
62010210405345001110
761262060303136645
oct5667250350323502
91000703828452316
10206112320235330
115a745820487a73
121b149b47023196
138b01401727292
1438c7c64c11a5c
1518c66c3b8bb70
hexbb7543a1a742

206112320235330 has 128 divisors (see below), whose sum is σ = 525151957824000. Its totient is φ = 51593461100544.

The previous prime is 206112320235307. The next prime is 206112320235337. The reversal of 206112320235330 is 33532023211602.

206112320235330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206112320235291 and 206112320235300.

It is not an unprimeable number, because it can be changed into a prime (206112320235337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3670782096 + ... + 3670838244.

It is an arithmetic number, because the mean of its divisors is an integer number (4102749670500).

Almost surely, 2206112320235330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206112320235330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262575978912000).

206112320235330 is an abundant number, since it is smaller than the sum of its proper divisors (319039637588670).

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

206112320235330 is a wasteful number, since it uses less digits than its factorization.

206112320235330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75068.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 206112320235330 its reverse (33532023211602), we get a palindrome (239644343446932).

The spelling of 206112320235330 in words is "two hundred six trillion, one hundred twelve billion, three hundred twenty million, two hundred thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 389 510 778 1167 1945 2334 3890 5835 6613 11670 13226 18503 19839 33065 37006 39678 55509 56149 66130 92515 99195 111018 112298 168447 185030 198390 277545 280745 314551 336894 555090 561490 629102 842235 943653 954533 1572755 1684470 1887306 1909066 2863599 3145510 4718265 4772665 5727198 7197667 9436530 9545330 14317995 14395334 21593001 21841961 28635990 35988335 43186002 43683922 65525883 71976670 107965005 109209805 122360339 131051766 215930010 218419610 244720678 327629415 367081017 371313337 611801695 655258830 734162034 742626674 1038924947 1113940011 1223603390 1835405085 1856566685 2077849894 2227880022 3116774841 3670810170 3713133370 5194624735 5569700055 6233549682 10389249470 11139400110 15583874205 17661724099 31167748410 35323448198 52985172297 88308620495 105970344594 176617240990 264925861485 404141804383 529851722970 808283608766 1212425413149 2020709021915 2424850826298 4041418043830 6062127065745 6870410674511 12124254131490 13740821349022 20611232023533 34352053372555 41222464047066 68704106745110 103056160117665 206112320235330