Search a number
-
+
11304234223110 = 2325311403866889
BaseRepresentation
bin1010010001111111100011…
…0111011000011000000110
31111000200012112000112012200
42210133320313120120012
52440202032430114420
640013032110455330
72244463314334533
oct244377067303006
944020175015180
1011304234223110
11366910a577754
121326a05204546
1363cca555190a
142b11b0b9bd8a
151490b0957b90
hexa47f8dd8606

11304234223110 has 48 divisors (see below), whose sum is σ = 29485513905120. Its totient is φ = 3004769646720.

The previous prime is 11304234223091. The next prime is 11304234223127. The reversal of 11304234223110 is 1132243240311.

11304234223110 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 2 + 342 + 2 + 311 + 0 = 666.

11304234223110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×113042342231103 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201905455 + ... + 201961434.

It is an arithmetic number, because the mean of its divisors is an integer number (614281539690).

Almost surely, 211304234223110 is an apocalyptic number.

11304234223110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11304234223110 is an abundant number, since it is smaller than the sum of its proper divisors (18181279682010).

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

11304234223110 is a wasteful number, since it uses less digits than its factorization.

11304234223110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403867213 (or 403867210 counting only the distinct ones).

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

Adding to 11304234223110 its reverse (1132243240311), we get a palindrome (12436477463421).

The spelling of 11304234223110 in words is "eleven trillion, three hundred four billion, two hundred thirty-four million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 311 622 933 1555 1866 2799 3110 4665 5598 9330 13995 27990 403866889 807733778 1211600667 2019334445 2423201334 3634802001 4038668890 6058003335 7269604002 12116006670 18174010005 36348020010 125602602479 251205204958 376807807437 628013012395 753615614874 1130423422311 1256026024790 1884039037185 2260846844622 3768078074370 5652117111555 11304234223110