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11001223320 = 23353741223271
BaseRepresentation
bin10100011111011100…
…10101100010011000
31001101200202001022120
422033232111202120
5140012303121240
65015350221240
7536422566243
oct121756254230
931350661276
1011001223320
1147359a39aa
122170354820
1310642653c9
1476510c25a
15445c31ad0
hex28fb95898

11001223320 has 256 divisors, whose sum is σ = 35006791680. Its totient is φ = 2762035200.

The previous prime is 11001223319. The next prime is 11001223327. The reversal of 11001223320 is 2332210011.

11001223320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11001223320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001223327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40594785 + ... + 40595055.

It is an arithmetic number, because the mean of its divisors is an integer number (136745280).

Almost surely, 211001223320 is an apocalyptic number.

11001223320 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 11001223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503395840).

11001223320 is an abundant number, since it is smaller than the sum of its proper divisors (24005568360).

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

11001223320 is a wasteful number, since it uses less digits than its factorization.

11001223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11001223320 its reverse (2332210011), we get a palindrome (13333433331).

The spelling of 11001223320 in words is "eleven billion, one million, two hundred twenty-three thousand, three hundred twenty".