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320200220320 = 2557572643661
BaseRepresentation
bin1001010100011010110…
…10111001111010100000
31010121111022012112122021
410222031122321322200
520221232224022240
6403033053551224
732063600652061
oct4521532717240
91117438175567
10320200220320
11113883749862
12520824a5514
132426bb39bb6
14116d7c66568
1584e0cc954a
hex4a8d6b9ea0

320200220320 has 48 divisors (see below), whose sum is σ = 757472610888. Its totient is φ = 127910845440.

The previous prime is 320200220299. The next prime is 320200220341. The reversal of 320200220320 is 23022002023.

It is an interprime number because it is at equal distance from previous prime (320200220299) and next prime (320200220341).

It can be written as a sum of positive squares in 4 ways, for example, as 316757347344 + 3442872976 = 562812^2 + 58676^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 320200220294 and 320200220303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200711 + ... + 1442950.

Almost surely, 2320200220320 is an apocalyptic number.

It is an amenable number.

320200220320 is an abundant number, since it is smaller than the sum of its proper divisors (437272390568).

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

320200220320 is a wasteful number, since it uses less digits than its factorization.

320200220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644433 (or 2644425 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 320200220320 its reverse (23022002023), we get a palindrome (343222222343).

The spelling of 320200220320 in words is "three hundred twenty billion, two hundred million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 757 1514 3028 3785 6056 7570 12112 15140 24224 30280 60560 121120 2643661 5287322 10574644 13218305 21149288 26436610 42298576 52873220 84597152 105746440 211492880 422985760 2001251377 4002502754 8005005508 10006256885 16010011016 20012513770 32020022032 40025027540 64040044064 80050055080 160100110160 320200220320