Search a number
-
+
200220000021210 = 235132934135142373
BaseRepresentation
bin101101100001100101011001…
…111110100110101011011010
3222020220211211001111002102010
4231201211121332212223122
5202220401030001134320
61545455444225250350
760113263151534331
oct5541453176465332
9866824731432363
10200220000021210
11588839093184a4
121a557b88a939b6
138794884c92520
1437629b1dd4d18
1518232ad285ae0
hexb61959fa6ada

200220000021210 has 128 divisors (see below), whose sum is σ = 519282687684096. Its totient is φ = 49114368230400.

The previous prime is 200220000021179. The next prime is 200220000021269. The reversal of 200220000021210 is 12120000022002.

200220000021210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4725157584 + ... + 4725199956.

It is an arithmetic number, because the mean of its divisors is an integer number (4056895997532).

Almost surely, 2200220000021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200220000021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259641343842048).

200220000021210 is an abundant number, since it is smaller than the sum of its proper divisors (319062687662886).

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

200220000021210 is a wasteful number, since it uses less digits than its factorization.

200220000021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84040.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200220000021210 its reverse (12120000022002), we get a palindrome (212340000043212).

The spelling of 200220000021210 in words is "two hundred trillion, two hundred twenty billion, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 293 390 586 879 1465 1758 2930 3809 4395 7618 8790 11427 19045 22854 38090 41351 42373 57135 82702 84746 114270 124053 127119 206755 211865 248106 254238 413510 423730 537563 550849 620265 635595 1075126 1101698 1240530 1271190 1612689 1652547 2687815 2754245 3225378 3305094 5375630 5508490 8063445 8262735 12115843 12415289 16126890 16525470 24231686 24830578 36347529 37245867 60579215 62076445 72695058 74491734 121158430 124152890 157505959 161398757 181737645 186229335 315011918 322797514 363475290 372458670 472517877 484196271 787529795 806993785 945035754 968392542 1575059590 1613987570 1752165923 2362589385 2420981355 3504331846 4725178770 4841962710 5256497769 8760829615 10512995538 17521659230 22778156999 26282488845 45556313998 52564977690 68334470997 113890784995 136668941994 227781569990 341672354985 513384615439 683344709970 1026769230878 1540153846317 2566923077195 3080307692634 5133846154390 6674000000707 7700769231585 13348000001414 15401538463170 20022000002121 33370000003535 40044000004242 66740000007070 100110000010605 200220000021210