Search a number
-
+
11215350000 = 24325524923
BaseRepresentation
bin10100111000111110…
…01010100011110000
31001221121122210220100
422130133022203300
5140432112200000
65052515512400
7544632621261
oct123437124360
931847583810
1011215350000
1148358554a8
12220bbb8700
13109972769a
1478572a968
1545992ba00
hex29c7ca8f0

11215350000 has 180 divisors, whose sum is σ = 39233317032. Its totient is φ = 2990640000.

The previous prime is 11215349983. The next prime is 11215350023. The reversal of 11215350000 is 5351211.

11215350000 is a `hidden beast` number, since 1 + 12 + 153 + 500 + 0 + 0 = 666.

11215350000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 437539 + ... + 462461.

Almost surely, 211215350000 is an apocalyptic number.

11215350000 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 11215350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616658516).

11215350000 is an abundant number, since it is smaller than the sum of its proper divisors (28017967032).

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

11215350000 is an equidigital number, since it uses as much as digits as its factorization.

11215350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24933 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 11215350000 in words is "eleven billion, two hundred fifteen million, three hundred fifty thousand".