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11033322320 = 245178112737
BaseRepresentation
bin10100100011010001…
…10010001101010000
31001110221010211212102
422101220302031100
5140044012303240
65022454215532
7540262456316
oct122150621520
931427124772
1011033322320
1147520283a9
12217b0545a8
13106aac38b7
147694a60b6
15448972815
hex291a32350

11033322320 has 40 divisors (see below), whose sum is σ = 27161446824. Its totient is φ = 4153720832.

The previous prime is 11033322301. The next prime is 11033322323. The reversal of 11033322320 is 2322333011.

It can be written as a sum of positive squares in 4 ways, for example, as 2295559744 + 8737762576 = 47912^2 + 93476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11033322292 and 11033322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033322323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4055009 + ... + 4057728.

Almost surely, 211033322320 is an apocalyptic number.

11033322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033322320 is an abundant number, since it is smaller than the sum of its proper divisors (16128124504).

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

11033322320 is a wasteful number, since it uses less digits than its factorization.

11033322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8112767 (or 8112761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11033322320 its reverse (2322333011), we get a palindrome (13355655331).

The spelling of 11033322320 in words is "eleven billion, thirty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 8112737 16225474 32450948 40563685 64901896 81127370 129803792 137916529 162254740 275833058 324509480 551666116 649018960 689582645 1103332232 1379165290 2206664464 2758330580 5516661160 11033322320