Search a number
-
+
1224130314220 = 2251123420157587
BaseRepresentation
bin10001110100000011110…
…110100011111111101100
311100000200202011002011221
4101310003312203333230
5130024004330023340
62334205132553124
7154304042663242
oct21640366437754
94300622132157
101224130314220
11432172716340
121792b29227a4
138b5868ac848
14433691a6792
1521c9836d44a
hex11d03da3fec

1224130314220 has 96 divisors (see below), whose sum is σ = 2927047850496. Its totient is φ = 425675712000.

The previous prime is 1224130314191. The next prime is 1224130314227. The reversal of 1224130314220 is 224130314221.

It is not an unprimeable number, because it can be changed into a prime (1224130314227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21228267 + ... + 21285853.

It is an arithmetic number, because the mean of its divisors is an integer number (30490081776).

Almost surely, 21224130314220 is an apocalyptic number.

1224130314220 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 1224130314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463523925248).

1224130314220 is an abundant number, since it is smaller than the sum of its proper divisors (1702917536276).

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

1224130314220 is a wasteful number, since it uses less digits than its factorization.

1224130314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61831 (or 61829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1224130314220 its reverse (224130314221), we get a palindrome (1448260628441).

Subtracting from 1224130314220 its reverse (224130314221), we obtain a palindrome (999999999999).

The spelling of 1224130314220 in words is "one trillion, two hundred twenty-four billion, one hundred thirty million, three hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 4201 5060 8402 16804 21005 42010 46211 57587 84020 92422 96623 115174 184844 193246 230348 231055 287935 386492 462110 483115 575870 633457 924220 966230 1062853 1151740 1266914 1324501 1932460 2125706 2533828 2649002 3167285 4251412 5298004 5314265 6334570 6622505 10628530 12669140 13245010 14569511 21257060 26490020 29139022 58278044 72847555 145695110 241922987 291390220 483845974 967691948 1209614935 2419229870 2661152857 4838459740 5322305714 5564228701 10644611428 11128457402 13305764285 22256914804 26611528570 27821143505 53223057140 55642287010 61206515711 111284574020 122413031422 244826062844 306032578555 612065157110 1224130314220