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220023212321 = 1147922146153
BaseRepresentation
bin1100110011101001100…
…1111100100100100001
3210000220210111021001202
43030322121330210201
512101101420243241
6245024405010545
721616244306213
oct3147231744441
9700823437052
10220023212321
1185347404a60
12367853b3a55
13179957633c3
14a9134ca5b3
155acb277d9b
hex333a67c921

220023212321 has 16 divisors (see below), whose sum is σ = 245164140288. Its totient is φ = 195739862400.

The previous prime is 220023212291. The next prime is 220023212341. The reversal of 220023212321 is 123212320022.

It is a happy number.

220023212321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 220023212321 - 26 = 220023212257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220023212293 and 220023212302.

It is not an unprimeable number, because it can be changed into a prime (220023212341) 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 15 ways as a sum of consecutive naturals, for example, 4744181 + ... + 4790333.

It is an arithmetic number, because the mean of its divisors is an integer number (15322758768).

Almost surely, 2220023212321 is an apocalyptic number.

It is an amenable number.

220023212321 is a deficient number, since it is larger than the sum of its proper divisors (25140927967).

220023212321 is a wasteful number, since it uses less digits than its factorization.

220023212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55432.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 220023212321 its reverse (123212320022), we get a palindrome (343235532343).

It can be divided in two parts, 22002 and 3212321, that added together give a palindrome (3234323).

The spelling of 220023212321 in words is "two hundred twenty billion, twenty-three million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 47 517 9221 46153 101431 433387 507683 2169191 4767257 23861101 425576813 4681344943 20002110211 220023212321