Search a number
-
+
10443054131300 = 2252726733166769
BaseRepresentation
bin1001011111110111011010…
…0010000010100001100100
31100222100100101202002211202
42113331312202002201210
52332044333324200200
634113250044422032
72125325421334100
oct227756642024144
940870311662752
1010443054131300
11336696889750a
121207b25847918
135a9a115042ab
14281637356900
151319ab50b1d5
hex97f76882864

10443054131300 has 108 divisors (see below), whose sum is σ = 26400430459620. Its totient is φ = 3575154401280.

The previous prime is 10443054131299. The next prime is 10443054131327. The reversal of 10443054131300 is 313145034401.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2129268736 + 10440924862564 = 46144^2 + 3231242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1714316 + ... + 4881084.

Almost surely, 210443054131300 is an apocalyptic number.

10443054131300 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 10443054131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13200215229810).

10443054131300 is an abundant number, since it is smaller than the sum of its proper divisors (15957376328320).

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

10443054131300 is a wasteful number, since it uses less digits than its factorization.

10443054131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167470 (or 3167456 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 10443054131300 its reverse (313145034401), we get a palindrome (10756199165701).

The spelling of 10443054131300 in words is "ten trillion, four hundred forty-three billion, fifty-four million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 673 700 980 1225 1346 2450 2692 3365 4711 4900 6730 9422 13460 16825 18844 23555 32977 33650 47110 65954 67300 94220 117775 131908 164885 235550 329770 471100 659540 824425 1648850 3166769 3297700 6333538 12667076 15833845 22167383 31667690 44334766 63335380 79169225 88669532 110836915 155171681 158338450 221673830 310343362 316676900 443347660 554184575 620686724 775858405 1108369150 1551716810 2131235537 2216738300 3103433620 3879292025 4262471074 7758584050 8524942148 10656177685 14918648759 15517168100 21312355370 29837297518 42624710740 53280888425 59674595036 74593243795 104430541313 106561776850 149186487590 208861082626 213123553700 298372975180 372966218975 417722165252 522152706565 745932437950 1044305413130 1491864875900 2088610826260 2610763532825 5221527065650 10443054131300