Search a number
-
+
11421300000 = 25355113461
BaseRepresentation
bin10101010001100001…
…10011010100100000
31002110222012011012010
422220300303110200
5141342323100000
65125154032520
7553013306505
oct125060632440
932428164163
1011421300000
114931031810
122268b78740
1311002b5ca6
147a4c1b4ac
1546ca5dd50
hex2a8c33520

11421300000 has 288 divisors, whose sum is σ = 40892257728. Its totient is φ = 2768000000.

The previous prime is 11421299983. The next prime is 11421300041. The reversal of 11421300000 is 312411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298270 + ... + 3301730.

It is an arithmetic number, because the mean of its divisors is an integer number (141987006).

Almost surely, 211421300000 is an apocalyptic number.

11421300000 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 11421300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446128864).

11421300000 is an abundant number, since it is smaller than the sum of its proper divisors (29470957728).

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

11421300000 is an equidigital number, since it uses as much as digits as its factorization.

11421300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11421300000 its reverse (312411), we get a palindrome (11421612411).

The spelling of 11421300000 in words is "eleven billion, four hundred twenty-one million, three hundred thousand".