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11001213330 = 2353710319613
BaseRepresentation
bin10100011111011100…
…10011000110010010
31001101200201112121120
422033232103012102
5140012302311310
65015350103110
7536422525152
oct121756230622
931350645546
1011001213330
114735997448
12217034aa96
1310642609b3
14765108762
15445c2db70
hex28fb93192

11001213330 has 64 divisors (see below), whose sum is σ = 27145628928. Its totient is φ = 2851303680.

The previous prime is 11001213323. The next prime is 11001213359. The reversal of 11001213330 is 3331210011.

11001213330 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 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 31 ways as a sum of consecutive naturals, for example, 1139604 + ... + 1149216.

It is an arithmetic number, because the mean of its divisors is an integer number (424150452).

Almost surely, 211001213330 is an apocalyptic number.

11001213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13572814464).

11001213330 is an abundant number, since it is smaller than the sum of its proper divisors (16144415598).

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

11001213330 is a wasteful number, since it uses less digits than its factorization.

11001213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11001213330 its reverse (3331210011), we get a palindrome (14332423341).

The spelling of 11001213330 in words is "eleven billion, one million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1031 1110 2062 3093 5155 6186 9613 10310 15465 19226 28839 30930 38147 48065 57678 76294 96130 114441 144195 190735 228882 288390 355681 381470 572205 711362 1067043 1144410 1778405 2134086 3556810 5335215 9911003 10670430 19822006 29733009 49555015 59466018 99110030 148665045 297330090 366707111 733414222 1100121333 1833535555 2200242666 3667071110 5500606665 11001213330