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11233213320 = 23357313789131
BaseRepresentation
bin10100111011000110…
…10011101110001000
31001222212021100202210
422131203103232020
5141001200311240
65054354425120
7545240511030
oct123543235610
931885240683
1011233213320
11484494647a
122215b921a0
1310a03403b4
14787c5a8c0
1545b2a9780
hex29d8d3b88

11233213320 has 512 divisors, whose sum is σ = 41604710400. Its totient is φ = 2372198400.

The previous prime is 11233213319. The next prime is 11233213339. The reversal of 11233213320 is 2331233211.

11233213320 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 (21).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 85749655 + ... + 85749785.

It is an arithmetic number, because the mean of its divisors is an integer number (81259200).

Almost surely, 211233213320 is an apocalyptic number.

11233213320 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 11233213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20802355200).

11233213320 is an abundant number, since it is smaller than the sum of its proper divisors (30371497080).

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

11233213320 is a wasteful number, since it uses less digits than its factorization.

11233213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11233213320 its reverse (2331233211), we get a palindrome (13564446531).

The spelling of 11233213320 in words is "eleven billion, two hundred thirty-three million, two hundred thirteen thousand, three hundred twenty".