Search a number
-
+
20130123130224 = 2437334481127681
BaseRepresentation
bin1001001001110111010001…
…10101101010010101110000
32122021102100220002102012020
410210323220311222111300
510114302443010131344
6110451352332231440
74145232134255322
oct444735065522560
978242326072166
1020130123130224
116461156796788
12231142960b580
13b3035483a193
144d8435c19612
1524d96d91c719
hex124ee8d6a570

20130123130224 has 80 divisors (see below), whose sum is σ = 52085792215584. Its totient is φ = 6699338956800.

The previous prime is 20130123130217. The next prime is 20130123130237. The reversal of 20130123130224 is 42203132103102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20130123130194 and 20130123130203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157595664 + ... + 157723344.

Almost surely, 220130123130224 is an apocalyptic number.

20130123130224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20130123130224 is an abundant number, since it is smaller than the sum of its proper divisors (31955669085360).

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

20130123130224 is a wasteful number, since it uses less digits than its factorization.

20130123130224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132906 (or 132900 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 20130123130224 its reverse (42203132103102), we get a palindrome (62333255233326).

The spelling of 20130123130224 in words is "twenty trillion, one hundred thirty billion, one hundred twenty-three million, one hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 733 1466 2199 2932 4398 4481 5864 8796 8962 11728 13443 17592 17924 26886 35184 35848 53772 71696 107544 127681 215088 255362 383043 510724 766086 1021448 1532172 2042896 3064344 3284573 6128688 6569146 9853719 13138292 19707438 26276584 39414876 52553168 78829752 93590173 157659504 187180346 280770519 374360692 561541038 572138561 748721384 1123082076 1144277122 1497442768 1716415683 2246164152 2288554244 3432831366 4492328304 4577108488 6865662732 9154216976 13731325464 27462650928 419377565213 838755130426 1258132695639 1677510260852 2516265391278 3355020521704 5032530782556 6710041043408 10065061565112 20130123130224