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320211221130 = 23253110110631069
BaseRepresentation
bin1001010100011100001…
…00110111101010001010
31010121112001220102220200
410222032010313222022
520221243033034010
6403034125433030
732064063320313
oct4521604675212
91117461812820
10320211221130
11113889982939
125208610b776
13242711bc158
14116d94cb60a
1584e1c4dcc0
hex4a8e137a8a

320211221130 has 192 divisors, whose sum is σ = 869543700480. Its totient is φ = 81663552000.

The previous prime is 320211221101. The next prime is 320211221137. The reversal of 320211221130 is 31122112023.

320211221130 is a `hidden beast` number, since 320 + 211 + 2 + 2 + 1 + 130 = 666.

It is a super-2 number, since 2×3202112211302 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (320211221137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299542236 + ... + 299543304.

It is an arithmetic number, because the mean of its divisors is an integer number (4528873440).

Almost surely, 2320211221130 is an apocalyptic number.

320211221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 320211221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434771850240).

320211221130 is an abundant number, since it is smaller than the sum of its proper divisors (549332479350).

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

320211221130 is a wasteful number, since it uses less digits than its factorization.

320211221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 320211221130 its reverse (31122112023), we get a palindrome (351333333153).

The spelling of 320211221130 in words is "three hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred thirty".