Search a number
-
+
11130530000 = 24545321001
BaseRepresentation
bin10100101110110111…
…00110100011010000
31001201201001111201212
422113123212203100
5140243403430000
65040245515252
7542552641532
oct122733464320
931651044655
1011130530000
1147a1991a27
1221a7712b28
131084c9a435
1477836b852
15452274c35
hex2976e68d0

11130530000 has 100 divisors (see below), whose sum is σ = 27457888788. Its totient is φ = 4368000000.

The previous prime is 11130529961. The next prime is 11130530017. The reversal of 11130530000 is 3503111.

11130530000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 8894753344 + 2235776656 = 94312^2 + 47284^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519500 + ... + 540500.

Almost surely, 211130530000 is an apocalyptic number.

11130530000 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 11130530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728944394).

11130530000 is an abundant number, since it is smaller than the sum of its proper divisors (16327358788).

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

11130530000 is an equidigital number, since it uses as much as digits as its factorization.

11130530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21082 (or 21061 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The spelling of 11130530000 in words is "eleven billion, one hundred thirty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 4240 5000 5300 6625 10000 10600 13250 21001 21200 26500 33125 42002 53000 66250 84004 105005 106000 132500 168008 210010 265000 336016 420020 525025 530000 840040 1050050 1113053 1680080 2100100 2226106 2625125 4200200 4452212 5250250 5565265 8400400 8904424 10500500 11130530 13125625 17808848 21001000 22261060 26251250 27826325 42002000 44522120 52502500 55652650 89044240 105005000 111305300 139131625 210010000 222610600 278263250 445221200 556526500 695658125 1113053000 1391316250 2226106000 2782632500 5565265000 11130530000