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11033212320 = 2532513245337
BaseRepresentation
bin10100100011010000…
…10111010110100000
31001110220221020222100
422101220113112200
5140044000243240
65022452010400
7540261520524
oct122150272640
931426836870
1011033212320
114751a62799
12217b000a00
13106aa85800
14769477d84
1544894ee30
hex291a175a0

11033212320 has 216 divisors, whose sum is σ = 40770740556. Its totient is φ = 2715807744.

The previous prime is 11033212291. The next prime is 11033212339. The reversal of 11033212320 is 2321233011.

11033212320 is a `hidden beast` number, since 1 + 1 + 0 + 332 + 12 + 320 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1883907216 + 9149305104 = 43404^2 + 95652^2 .

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 = 11033212293 and 11033212302.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220692 + ... + 266028.

Almost surely, 211033212320 is an apocalyptic number.

11033212320 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 11033212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20385370278).

11033212320 is an abundant number, since it is smaller than the sum of its proper divisors (29737528236).

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

11033212320 is a wasteful number, since it uses less digits than its factorization.

11033212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45384 (or 45360 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11033212320 its reverse (2321233011), we get a palindrome (13354445331).

The spelling of 11033212320 in words is "eleven billion, thirty-three million, two hundred twelve thousand, three hundred twenty".