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220330122321 = 3478321092081
BaseRepresentation
bin1100110100110010110…
…0101101110001010001
3210001201011222220102210
43031030230231301101
512102214002403241
6245115051102333
721626662065441
oct3151454556121
9701634886383
10220330122321
1185494678a91
12368501419a9
1317a1421045a
14a94217c121
155ae819e316
hex334cb2dc51

220330122321 has 48 divisors (see below), whose sum is σ = 306615640320. Its totient is φ = 140658785280.

The previous prime is 220330122241. The next prime is 220330122347. The reversal of 220330122321 is 123221033022.

It is a happy number.

220330122321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220330122321 - 213 = 220330114129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220330122371) 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 47 ways as a sum of consecutive naturals, for example, 105876001 + ... + 105878081.

It is an arithmetic number, because the mean of its divisors is an integer number (6387825840).

Almost surely, 2220330122321 is an apocalyptic number.

It is an amenable number.

220330122321 is a deficient number, since it is larger than the sum of its proper divisors (86285517999).

220330122321 is a wasteful number, since it uses less digits than its factorization.

220330122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220330122321 its reverse (123221033022), we get a palindrome (343551155343).

The spelling of 220330122321 in words is "two hundred twenty billion, three hundred thirty million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 47 83 109 141 249 327 2081 3901 5123 6243 6889 9047 11703 15369 20667 27141 97807 172723 226829 293421 323783 425209 518169 680487 750901 971349 1275627 2252703 8117981 10660963 14336009 18826807 24353943 31982889 35292347 43008027 56480421 105877041 673792423 884859929 1562624981 2021377269 2654579787 4687874943 73443374107 220330122321