Search a number
-
+
11000310320 = 245314435609
BaseRepresentation
bin10100011111010101…
…10110101000110000
31001101122000122220202
422033222312220300
5140012034412240
65015314454332
7536412044366
oct121752665060
931348018822
1011000310320
11473542aa5a
12216bb943a8
13106400597c
14764d51636
15445b01315
hex28fab6a30

11000310320 has 40 divisors (see below), whose sum is σ = 26400750720. Its totient is φ = 4258183680.

The previous prime is 11000310313. The next prime is 11000310329. The reversal of 11000310320 is 2301300011.

11000310320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×110003103203 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000310329) 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 7 ways as a sum of consecutive naturals, for example, 2215325 + ... + 2220284.

It is an arithmetic number, because the mean of its divisors is an integer number (660018768).

Almost surely, 211000310320 is an apocalyptic number.

11000310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000310320 is an abundant number, since it is smaller than the sum of its proper divisors (15400440400).

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

11000310320 is a wasteful number, since it uses less digits than its factorization.

11000310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4435653 (or 4435647 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11000310320 its reverse (2301300011), we get a palindrome (13301610331).

The spelling of 11000310320 in words is "eleven billion, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4435609 8871218 17742436 22178045 35484872 44356090 70969744 88712180 137503879 177424360 275007758 354848720 550015516 687519395 1100031032 1375038790 2200062064 2750077580 5500155160 11000310320