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11320213320 = 2335513101887
BaseRepresentation
bin10101000101011110…
…01011111101001000
31002012220222102100000
422202233023331020
5141140433311240
65111143243000
7550345140243
oct124257137510
932186872300
1011320213320
114889a688a9
12223b149460
1310b53819a0
1479562625a
15463c42430
hex2a2bcbf48

11320213320 has 384 divisors, whose sum is σ = 41541776640. Its totient is φ = 2755814400.

The previous prime is 11320213279. The next prime is 11320213339. The reversal of 11320213320 is 2331202311.

11320213320 is a `hidden beast` number, since 1 + 1 + 320 + 21 + 3 + 320 = 666.

It is a super-2 number, since 2×113202133202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11320213293 and 11320213302.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12761917 + ... + 12762803.

It is an arithmetic number, because the mean of its divisors is an integer number (108181710).

Almost surely, 211320213320 is an apocalyptic number.

11320213320 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 11320213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770888320).

11320213320 is an abundant number, since it is smaller than the sum of its proper divisors (30221563320).

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

11320213320 is a wasteful number, since it uses less digits than its factorization.

11320213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320213320 its reverse (2331202311), we get a palindrome (13651415631).

The spelling of 11320213320 in words is "eleven billion, three hundred twenty million, two hundred thirteen thousand, three hundred twenty".