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11032330320 = 24325113833637
BaseRepresentation
bin10100100011001010…
…00000000001010000
31001110212021110002200
422101211000001100
5140043234032240
65022421043200
7540251155224
oct122145000120
931425243080
1011032330320
114751510070
12217a856500
13106a83720b
147692c8784
15448828930
hex291940050

11032330320 has 240 divisors, whose sum is σ = 40535119872. Its totient is φ = 2666787840.

The previous prime is 11032330301. The next prime is 11032330343. The reversal of 11032330320 is 2303323011.

11032330320 is a `hidden beast` number, since 1 + 10 + 3 + 2 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11032330293 and 11032330302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031542 + ... + 3035178.

Almost surely, 211032330320 is an apocalyptic number.

11032330320 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 11032330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267559936).

11032330320 is an abundant number, since it is smaller than the sum of its proper divisors (29502789552).

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

11032330320 is a wasteful number, since it uses less digits than its factorization.

11032330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 11032330320 its reverse (2303323011), we get a palindrome (13335653331).

The spelling of 11032330320 in words is "eleven billion, thirty-two million, three hundred thirty thousand, three hundred twenty".