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11323303120 = 245615414289
BaseRepresentation
bin10101000101110101…
…11110010011010000
31002020010210101202001
422202322332103100
5141142231144440
65111333403344
7550413326353
oct124272762320
932203711661
1011323303120
114890789258
122240199554
1310b5bc417c
14795bcc29a
15464152b9a
hex2a2ebe4d0

11323303120 has 80 divisors (see below), whose sum is σ = 26813975760. Its totient is φ = 4445798400.

The previous prime is 11323303097. The next prime is 11323303151. The reversal of 11323303120 is 2130332311.

11323303120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 268042384 + 11055260736 = 16372^2 + 105144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2637936 + ... + 2642224.

It is an arithmetic number, because the mean of its divisors is an integer number (335174697).

Almost surely, 211323303120 is an apocalyptic number.

11323303120 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 11323303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406987880).

11323303120 is an abundant number, since it is smaller than the sum of its proper divisors (15490672640).

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

11323303120 is a wasteful number, since it uses less digits than its factorization.

11323303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11323303120 its reverse (2130332311), we get a palindrome (13453635431).

The spelling of 11323303120 in words is "eleven billion, three hundred twenty-three million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 541 610 976 1082 1220 2164 2440 2705 4289 4328 4880 5410 8578 8656 10820 17156 21445 21640 33001 34312 42890 43280 66002 68624 85780 132004 165005 171560 261629 264008 330010 343120 523258 528016 660020 1046516 1308145 1320040 2093032 2320349 2616290 2640080 4186064 4640698 5232580 9281396 10465160 11601745 18562792 20930320 23203490 37125584 46406980 92813960 141541289 185627920 283082578 566165156 707706445 1132330312 1415412890 2264660624 2830825780 5661651560 11323303120