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161300830320 = 243257247891093
BaseRepresentation
bin1001011000111001000…
…1110101100001110000
3120102100022222011201200
42112032101311201300
510120321003032240
6202033420331200
714440120302300
oct2261621654160
9512308864650
10161300830320
1162453128243
12273173a3b00
13122979057c6
147b425ad600
1542e0c93930
hex258e475870

161300830320 has 720 divisors, whose sum is σ = 651376702080. Its totient is φ = 35646234624.

The previous prime is 161300830309. The next prime is 161300830331. The reversal of 161300830320 is 23038003161.

It is a happy number.

161300830320 is a `hidden beast` number, since 1 + 6 + 1 + 300 + 8 + 30 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (161300830309) and next prime (161300830331).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 147575694 + ... + 147576786.

It is an arithmetic number, because the mean of its divisors is an integer number (904689864).

Almost surely, 2161300830320 is an apocalyptic number.

161300830320 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 161300830320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325688351040).

161300830320 is an abundant number, since it is smaller than the sum of its proper divisors (490075871760).

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

161300830320 is a wasteful number, since it uses less digits than its factorization.

161300830320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 161300830320 its reverse (23038003161), we get a palindrome (184338833481).

The spelling of 161300830320 in words is "one hundred sixty-one billion, three hundred million, eight hundred thirty thousand, three hundred twenty".