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320970885120 = 211365193173
BaseRepresentation
bin1001010101110110101…
…10110000100000000000
31010200111000100101000000
410222323112300200000
520224322021310440
6403241344000000
732121646336164
oct4527326604000
91120430311000
10320970885120
11114139773716
1252258600000
13243626bb582
141176c356ca4
1585387a9730
hex4abb5b0800

320970885120 has 1344 divisors, whose sum is σ = 1271853273600. Its totient is φ = 77396705280.

The previous prime is 320970885113. The next prime is 320970885181. The reversal of 320970885120 is 21588079023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4396861404 + ... + 4396861476.

It is an arithmetic number, because the mean of its divisors is an integer number (946319400).

Almost surely, 2320970885120 is an apocalyptic number.

320970885120 is a gapful number since it is divisible by the number (30) 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 320970885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635926636800).

320970885120 is an abundant number, since it is smaller than the sum of its proper divisors (950882388480).

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

320970885120 is an equidigital number, since it uses as much as digits as its factorization.

320970885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 320970885120 in words is "three hundred twenty billion, nine hundred seventy million, eight hundred eighty-five thousand, one hundred twenty".