Search a number
-
+
11443310300100 = 223527429547823
BaseRepresentation
bin1010011010000101101001…
…1100100000101111000100
31111111222011222012020212010
42212201122130200233010
52444441344414100400
640200552325454220
72260515616440000
oct246413234405704
944458158166763
1011443310300100
113712098379858
121349959571370
1365013a8922b3
142b7c05803700
1514ca004c4450
hexa685a720bc4

11443310300100 has 360 divisors, whose sum is σ = 39957208824960. Its totient is φ = 2525415594240.

The previous prime is 11443310300089. The next prime is 11443310300117. The reversal of 11443310300100 is 100301334411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20614789 + ... + 21162611.

It is an arithmetic number, because the mean of its divisors is an integer number (110992246736).

Almost surely, 211443310300100 is an apocalyptic number.

11443310300100 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 11443310300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978604412480).

11443310300100 is an abundant number, since it is smaller than the sum of its proper divisors (28513898524860).

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

11443310300100 is a wasteful number, since it uses less digits than its factorization.

11443310300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547897 (or 547869 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11443310300100 its reverse (100301334411), we get a palindrome (11543611634511).

The spelling of 11443310300100 in words is "eleven trillion, four hundred forty-three billion, three hundred ten million, three hundred thousand, one hundred".