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11220000330 = 2357114857143
BaseRepresentation
bin10100111001100001…
…11001111001001010
31001221221102001221210
422130300321321022
5140434310002310
65053203313550
7545020300140
oct123460717112
931857361853
1011220000330
114838441350
12221167b8b6
13109a695266
147861bb590
1545a049820
hex29cc39e4a

11220000330 has 64 divisors (see below), whose sum is σ = 33572579328. Its totient is φ = 2331428160.

The previous prime is 11220000329. The next prime is 11220000331. The reversal of 11220000330 is 3300002211.

It is a happy number.

11220000330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220000329) and next prime (11220000331).

It is not an unprimeable number, because it can be changed into a prime (11220000331) 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 31 ways as a sum of consecutive naturals, for example, 2426262 + ... + 2430881.

It is an arithmetic number, because the mean of its divisors is an integer number (524571552).

Almost surely, 211220000330 is an apocalyptic number.

11220000330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11220000330 is an abundant number, since it is smaller than the sum of its proper divisors (22352578998).

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

11220000330 is a wasteful number, since it uses less digits than its factorization.

11220000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857171.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11220000330 its reverse (3300002211), we get a palindrome (14520002541).

The spelling of 11220000330 in words is "eleven billion, two hundred twenty million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 4857143 9714286 14571429 24285715 29142858 34000001 48571430 53428573 68000002 72857145 102000003 106857146 145714290 160285719 170000005 204000006 267142865 320571438 340000010 374000011 510000015 534285730 748000022 801428595 1020000030 1122000033 1602857190 1870000055 2244000066 3740000110 5610000165 11220000330