Search a number
-
+
110222220020000 = 2554113491435559
BaseRepresentation
bin11001000011111100011100…
…010001010100100100100000
3112110021010211000201102210012
4121003330130101110210200
5103421340101311120000
61030231215554024052
732134202235521144
oct3103743421244440
9473233730642705
10110222220020000
1132135a87794290
121044197a578028
134966babbb915a
141d30ad90b7224
15cb21ed776735
hex643f1c454920

110222220020000 has 240 divisors, whose sum is σ = 296662206456000. Its totient is φ = 39965934720000.

The previous prime is 110222220019981. The next prime is 110222220020113. The reversal of 110222220020000 is 20022222011.

It is a super-2 number, since 2×1102222200200002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 76062221 + ... + 77497779.

It is an arithmetic number, because the mean of its divisors is an integer number (1236092526900).

Almost surely, 2110222220020000 is an apocalyptic number.

110222220020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110222220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148331103228000).

110222220020000 is an abundant number, since it is smaller than the sum of its proper divisors (186439986436000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110222220020000 is a wasteful number, since it uses less digits than its factorization.

110222220020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435949 (or 1435926 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 110222220020000 its reverse (20022222011), we get a palindrome (110242242242011).

The spelling of 110222220020000 in words is "one hundred ten trillion, two hundred twenty-two billion, two hundred twenty million, twenty thousand".