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23320221110001 = 36172881125641
BaseRepresentation
bin1010100110101101010010…
…11111101100111011110001
310001120101120022020122000000
411103112221133230323301
511024034303101010001
6121333054531220213
74624554550553664
oct523265137547361
9101511508218000
1023320221110001
117481060950272
122747746a47669
13100211a085b8a
145a89c1a976db
152a692c12da86
hex1535a97ecef1

23320221110001 has 84 divisors (see below), whose sum is σ = 37184501490444. Its totient is φ = 14615570534400.

The previous prime is 23320221109957. The next prime is 23320221110047. The reversal of 23320221110001 is 10001112202332.

23320221110001 is a `hidden beast` number, since 2 + 332 + 0 + 221 + 110 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 117358315776 + 23202862794225 = 342576^2 + 4816935^2 .

It is not a de Polignac number, because 23320221110001 - 230 = 23319147368177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23320221111001) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 185547141 + ... + 185672781.

It is an arithmetic number, because the mean of its divisors is an integer number (442672636791).

Almost surely, 223320221110001 is an apocalyptic number.

It is an amenable number.

23320221110001 is a deficient number, since it is larger than the sum of its proper divisors (13864280380443).

23320221110001 is an equidigital number, since it uses as much as digits as its factorization.

23320221110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126574 (or 126542 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23320221110001 its reverse (10001112202332), we get a palindrome (33321333312333).

The spelling of 23320221110001 in words is "twenty-three trillion, three hundred twenty billion, two hundred twenty-one million, one hundred ten thousand, one".

Divisors: 1 3 9 17 27 51 81 153 243 289 459 729 867 881 1377 2601 2643 4131 7803 7929 12393 14977 23409 23787 44931 70227 71361 125641 134793 210681 214083 254609 376923 404379 642249 763827 1130769 1213137 2135897 2291481 3392307 3639411 6407691 6874443 10176921 10918233 19223073 20623329 30530763 36310249 57669219 61869987 91592289 108930747 110689721 173007657 185609961 326792241 332069163 519022971 980376723 996207489 1557068913 1881725257 2941130169 2988622467 5645175771 8823390507 8965867401 16935527313 26470171521 26897602203 31989329369 50806581939 80692806609 95967988107 152419745817 287903964321 457259237451 863711892963 1371777712353 2591135678889 7773407036667 23320221110001