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11304351000 = 2332533783409
BaseRepresentation
bin10101000011100101…
…01011010100011000
31002011211010112022200
422201302223110120
5141122403213000
65105415250200
7550063253355
oct124162532430
932154115280
1011304351000
114881014248
122235979960
1310b1cb99b7
1479349762c
1546265c500
hex2a1cab518

11304351000 has 384 divisors, whose sum is σ = 39811262400. Its totient is φ = 2890598400.

The previous prime is 11304350999. The next prime is 11304351053. The reversal of 11304351000 is 15340311.

11304351000 is a `hidden beast` number, since 1 + 130 + 435 + 100 + 0 = 666.

It is a super-3 number, since 3×113043510003 (a number of 31 digits) contains 333 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27638796 + ... + 27639204.

Almost surely, 211304351000 is an apocalyptic number.

11304351000 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 11304351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19905631200).

11304351000 is an abundant number, since it is smaller than the sum of its proper divisors (28506911400).

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

11304351000 is a wasteful number, since it uses less digits than its factorization.

11304351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 11304351000 its reverse (15340311), we get a palindrome (11319691311).

The spelling of 11304351000 in words is "eleven billion, three hundred four million, three hundred fifty-one thousand".