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11302530000 = 243541979251
BaseRepresentation
bin10101000011010111…
…01110101111010000
31002011200201000101020
422201223232233100
5141121421430000
65105312235440
7550041630336
oct124153565720
932150630336
1011302530000
11487aa90093
12223523bb80
1310b17ccb98
14793141b56
154623ecba0
hex2a1aeebd0

11302530000 has 400 divisors, whose sum is σ = 39047500800. Its totient is φ = 2808000000.

The previous prime is 11302529989. The next prime is 11302530007. The reversal of 11302530000 is 3520311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11302530007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45029875 + ... + 45030125.

It is an arithmetic number, because the mean of its divisors is an integer number (97618752).

Almost surely, 211302530000 is an apocalyptic number.

11302530000 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 11302530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19523750400).

11302530000 is an abundant number, since it is smaller than the sum of its proper divisors (27744970800).

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

11302530000 is a wasteful number, since it uses less digits than its factorization.

11302530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The spelling of 11302530000 in words is "eleven billion, three hundred two million, five hundred thirty thousand".