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221324112331 = 72891811991409
BaseRepresentation
bin1100111000011111110…
…0011111000111001011
3210011021110100211101121
43032013330133013023
512111232433043311
6245401435500111
721663421625500
oct3160774370713
9704243324347
10221324112331
1185954767433
1236a88bb7637
1317b42124c1a
14a9d81a34a7
155b55594b71
hex3387f1f1cb

221324112331 has 48 divisors (see below), whose sum is σ = 263292120000. Its totient is φ = 185469419520.

The previous prime is 221324112311. The next prime is 221324112353. The reversal of 221324112331 is 133211423122.

It is not a de Polignac number, because 221324112331 - 25 = 221324112299 is a prime.

It is a super-2 number, since 2×2213241123312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221324112296 and 221324112305.

It is not an unprimeable number, because it can be changed into a prime (221324112301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157078155 + ... + 157079563.

It is an arithmetic number, because the mean of its divisors is an integer number (5485252500).

Almost surely, 2221324112331 is an apocalyptic number.

221324112331 is a deficient number, since it is larger than the sum of its proper divisors (41968007669).

221324112331 is a wasteful number, since it uses less digits than its factorization.

221324112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1885 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

Adding to 221324112331 its reverse (133211423122), we get a palindrome (354535535453).

The spelling of 221324112331 in words is "two hundred twenty-one billion, three hundred twenty-four million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 49 89 181 199 623 1267 1393 1409 4361 8869 9751 9863 16109 17711 36019 69041 112763 123977 125401 252133 255029 280391 789341 867839 877807 1764931 1785203 1962737 3205691 6144649 12496421 13739159 22439837 22697581 24954799 50750771 157078859 158883067 174683593 355255397 1112181469 1222785151 2486787779 4516818619 31617730333 221324112331