Search a number
-
+
10210020001220 = 22513229220777699
BaseRepresentation
bin1001010010010011010010…
…0111011000010111000100
31100011001211211220201222002
42110210310213120113010
52314240110110014340
633414230214324432
72102435546035664
oct224446447302704
940131754821862
1010210020001220
113287055130466
12118a92b059718
13590a543489b0
1427424bc9c1a4
1512a8bcdc6715
hex949349d85c4

10210020001220 has 96 divisors (see below), whose sum is σ = 23201990784000. Its totient is φ = 3751642335744.

The previous prime is 10210020001163. The next prime is 10210020001289. The reversal of 10210020001220 is 2210002001201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131365931 + ... + 131443629.

It is an arithmetic number, because the mean of its divisors is an integer number (241687404000).

Almost surely, 210210020001220 is an apocalyptic number.

10210020001220 is a gapful number since it is divisible by the number (10) 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 10210020001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600995392000).

10210020001220 is an abundant number, since it is smaller than the sum of its proper divisors (12991970782780).

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

10210020001220 is a wasteful number, since it uses less digits than its factorization.

10210020001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80157 (or 80155 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10210020001220 its reverse (2210002001201), we get a palindrome (12420022002421).

The spelling of 10210020001220 in words is "ten trillion, two hundred ten billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2207 2290 2977 4414 4580 5954 8828 11035 11908 14885 22070 28691 29770 44140 57382 59540 77699 114764 143455 155398 286910 310796 388495 505403 573820 776990 1010087 1010806 1553980 2020174 2021612 2527015 4040348 5050435 5054030 6570239 10100870 10108060 13140478 17793071 20201740 26280956 32851195 35586142 65702390 71172284 88965355 131404780 171481693 177930710 231309923 342963386 355861420 462619846 685926772 857408465 925239692 1156549615 1714816930 2229262009 2313099230 3429633860 4458524018 4626198460 8917048036 11146310045 22292620090 39269307697 44585240180 78538615394 157077230788 196346538485 392693076970 510501000061 785386153940 1021002000122 2042004000244 2552505000305 5105010000610 10210020001220