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2220032320321 = 31337319015429
BaseRepresentation
bin100000010011100100001…
…111001110001101000001
321212020021212110211212011
4200103210033032031001
5242333111233222241
64415511353132521
7316251320240224
oct40234417161501
97766255424764
102220032320321
11786568406812
122ba3103ba141
1313146ab6630a
147964326b5bb
153cb34e54281
hex204e43ce341

2220032320321 has 8 divisors (see below), whose sum is σ = 2233096037480. Its totient is φ = 2207006635392.

The previous prime is 2220032320229. The next prime is 2220032320343. The reversal of 2220032320321 is 1230232300222.

It can be written as a sum of positive squares in 4 ways, for example, as 139771299600 + 2080261020721 = 373860^2 + 1442311^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2220032320321 - 27 = 2220032320193 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2220032320292 and 2220032320301.

It is not an unprimeable number, because it can be changed into a prime (2220032320921) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9390966 + ... + 9624463.

It is an arithmetic number, because the mean of its divisors is an integer number (279137004685).

Almost surely, 22220032320321 is an apocalyptic number.

It is an amenable number.

2220032320321 is a deficient number, since it is larger than the sum of its proper divisors (13063717159).

2220032320321 is a wasteful number, since it uses less digits than its factorization.

2220032320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19016115.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2220032320321 its reverse (1230232300222), we get a palindrome (3450264620543).

The spelling of 2220032320321 in words is "two trillion, two hundred twenty billion, thirty-two million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 313 373 116749 19015429 5951829277 7092755017 2220032320321