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2311321320 = 23325711199419
BaseRepresentation
bin1000100111000011…
…1111011011101000
312222002011021210100
42021300333123220
514213144240240
61021203345400
7111163623060
oct21160773350
95862137710
102311321320
11a86753a10
12546082260
132aab0a269
1417cd783a0
15d7daae30
hex89c3f6e8

2311321320 has 384 divisors, whose sum is σ = 9434880000. Its totient is φ = 476720640.

The previous prime is 2311321319. The next prime is 2311321349. The reversal of 2311321320 is 231231132.

2311321320 is a `hidden beast` number, since 2 + 311 + 32 + 1 + 320 = 666.

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 = 2311321293 and 2311321302.

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 95 ways as a sum of consecutive naturals, for example, 5516071 + ... + 5516489.

It is an arithmetic number, because the mean of its divisors is an integer number (24570000).

Almost surely, 22311321320 is an apocalyptic number.

2311321320 is a gapful number since it is divisible by the number (20) 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 2311321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440000).

2311321320 is an abundant number, since it is smaller than the sum of its proper divisors (7123558680).

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

2311321320 is a wasteful number, since it uses less digits than its factorization.

2311321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

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

The square root of 2311321320 is about 48076.2032610729. The cubic root of 2311321320 is about 1322.1684056381.

Adding to 2311321320 its reverse (231231132), we get a palindrome (2542552452).

The spelling of 2311321320 in words is "two billion, three hundred eleven million, three hundred twenty-one thousand, three hundred twenty".