Search a number
-
+
21002120022220 = 22523971259373859
BaseRepresentation
bin1001100011001111011111…
…11001110100100011001100
32202100210010212002012220021
410301213233321310203030
510223044320211202340
6112400124000031524
74265232053455501
oct461475771644314
982323125065807
1021002120022220
116767a49257007
1224324276025a4
13b9465085a99c
145287180834a8
152664a77bbe4a
hex1319efe748cc

21002120022220 has 96 divisors (see below), whose sum is σ = 46533546662400. Its totient is φ = 7946414598144.

The previous prime is 21002120022193. The next prime is 21002120022241. The reversal of 21002120022220 is 2222002120012.

It is a junction number, because it is equal to n+sod(n) for n = 21002120022194 and 21002120022203.

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, 55989651 + ... + 56363509.

It is an arithmetic number, because the mean of its divisors is an integer number (484724444400).

Almost surely, 221002120022220 is an apocalyptic number.

21002120022220 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 21002120022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23266773331200).

21002120022220 is an abundant number, since it is smaller than the sum of its proper divisors (25531426640180).

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

21002120022220 is a wasteful number, since it uses less digits than its factorization.

21002120022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375247 (or 375245 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 21002120022220 its reverse (2222002120012), we get a palindrome (23224122142232).

The spelling of 21002120022220 in words is "twenty-one trillion, two billion, one hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 970 1259 1940 2231 2518 4462 5036 6295 8924 11155 12590 22310 25180 28957 44620 57914 115828 122123 144785 244246 289570 373859 488492 579140 610615 747718 1221230 1495436 1869295 2442460 2808829 3738590 5617658 7477180 8598757 11235316 14044145 17197514 28088290 34395028 36264323 42993785 56176580 72528646 85987570 145057292 171975140 181321615 362643230 470688481 725286460 834079429 941376962 1668158858 1882753924 2353442405 3336317716 4170397145 4706884810 8340794290 9413769620 10825835063 16681588580 21651670126 43303340252 45656782657 54129175315 91313565314 108258350630 182627130628 216516701260 228283913285 456567826570 913135653140 1050106001111 2100212002222 4200424004444 5250530005555 10501060011110 21002120022220