Search a number
-
+
110222221322331 = 32571121317681933
BaseRepresentation
bin11001000011111100011100…
…010110010010100001011011
3112110021010211010011121020200
4121003330130112102201123
5103421340102124303311
61030231220041553243
732134202252554056
oct3103743426224133
9473233733147220
10110222221322331
1132135a884a3798
121044197aaa5823
134966bac253b71
141d30ad9335a9d
15cb21ed932556
hex643f1c59285b

110222221322331 has 24 divisors (see below), whose sum is σ = 159620193525936. Its totient is φ = 73292315417280.

The previous prime is 110222221322321. The next prime is 110222221322333. The reversal of 110222221322331 is 133223122222011.

110222221322331 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 2 + 2 + 2 + 2 + 1 + 322 + 331 = 666.

It is not a de Polignac number, because 110222221322331 - 26 = 110222221322267 is a prime.

It is a super-2 number, since 2×1102222213223312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110222221322295 and 110222221322304.

It is not an unprimeable number, because it can be changed into a prime (110222221322333) 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 23 ways as a sum of consecutive naturals, for example, 2607360 + ... + 15074573.

It is an arithmetic number, because the mean of its divisors is an integer number (6650841396914).

Almost surely, 2110222221322331 is an apocalyptic number.

110222221322331 is a deficient number, since it is larger than the sum of its proper divisors (49397972203605).

110222221322331 is a wasteful number, since it uses less digits than its factorization.

110222221322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17683723 (or 17683720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 110222221322331 its reverse (133223122222011), we get a palindrome (243445343544342).

The spelling of 110222221322331 in words is "one hundred ten trillion, two hundred twenty-two billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 571 1213 1713 3639 5139 10917 692623 2077869 6233607 17681933 53045799 159137397 10096383743 21448184729 30289151229 64344554187 90867453687 193033662561 12246913480259 36740740440777 110222221322331