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220021300314 = 23247260072459
BaseRepresentation
bin1100110011101001001…
…0101001110001011010
3210000220122220010021200
43030322102221301122
512101100423102224
6245024300015030
721616222123644
oct3147222516132
9700818803250
10220021300314
1185346319492
1236784831476
131799524403a
14a91314d894
155acaeeb5c9
hex333a4a9c5a

220021300314 has 24 divisors (see below), whose sum is σ = 486855645120. Its totient is φ = 71779998408.

The previous prime is 220021300309. The next prime is 220021300319. The reversal of 220021300314 is 413003120022.

220021300314 is a `hidden beast` number, since 220 + 0 + 2 + 130 + 0 + 314 = 666.

220021300314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220021300309) and next prime (220021300319).

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 (220021300319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 130035384 + ... + 130037075.

It is an arithmetic number, because the mean of its divisors is an integer number (20285651880).

Almost surely, 2220021300314 is an apocalyptic number.

220021300314 is an abundant number, since it is smaller than the sum of its proper divisors (266834344806).

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

220021300314 is a wasteful number, since it uses less digits than its factorization.

220021300314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260072514 (or 260072511 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220021300314 its reverse (413003120022), we get a palindrome (633024420336).

The spelling of 220021300314 in words is "two hundred twenty billion, twenty-one million, three hundred thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 260072459 520144918 780217377 1560434754 2340652131 4681304262 12223405573 24446811146 36670216719 73340433438 110010650157 220021300314