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11341221320 = 235111367101293
BaseRepresentation
bin10101000111111110…
…10100110111001000
31002021101111201220002
422203333110313020
5141211323040240
65113213422132
7551021535122
oct124377246710
932241451802
1011341221320
11489a907490
12224619a948
1310b9828b60
14798334212
154659e1d15
hex2a3fd4dc8

11341221320 has 256 divisors, whose sum is σ = 30832462080. Its totient is φ = 3700224000.

The previous prime is 11341221289. The next prime is 11341221329. The reversal of 11341221320 is 2312214311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11341221292 and 11341221301.

It is not an unprimeable number, because it can be changed into a prime (11341221329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38707094 + ... + 38707386.

It is an arithmetic number, because the mean of its divisors is an integer number (120439305).

Almost surely, 211341221320 is an apocalyptic number.

11341221320 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 11341221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416231040).

11341221320 is an abundant number, since it is smaller than the sum of its proper divisors (19491240760).

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

11341221320 is a wasteful number, since it uses less digits than its factorization.

11341221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11341221320 its reverse (2312214311), we get a palindrome (13653435631).

The spelling of 11341221320 in words is "eleven billion, three hundred forty-one million, two hundred twenty-one thousand, three hundred twenty".