Search a number
-
+
11224440342132 = 22317313907193813
BaseRepresentation
bin1010001101010110010011…
…0001111000011001110100
31110202001020112202101100120
42203111210301320121310
52432400123211422012
635512234155011540
72235640044464163
oct243254461703164
943661215671316
1011224440342132
113638292a52976
121313456439bb0
136355ca037324
142ab3a15593da
15146e9060158c
hexa3564c78674

11224440342132 has 96 divisors (see below), whose sum is σ = 27850383372672. Its totient is φ = 3506254442496.

The previous prime is 11224440342127. The next prime is 11224440342211. The reversal of 11224440342132 is 23124304442211.

It is a super-3 number, since 3×112244403421323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11224440342093 and 11224440342102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57816858 + ... + 58010670.

It is an arithmetic number, because the mean of its divisors is an integer number (290108160132).

Almost surely, 211224440342132 is an apocalyptic number.

11224440342132 is a gapful number since it is divisible by the number (12) 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 11224440342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925191686336).

11224440342132 is an abundant number, since it is smaller than the sum of its proper divisors (16625943030540).

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

11224440342132 is a wasteful number, since it uses less digits than its factorization.

11224440342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195057 (or 195055 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 11224440342132 its reverse (23124304442211), we get a palindrome (34348744784343).

The spelling of 11224440342132 in words is "eleven trillion, two hundred twenty-four billion, four hundred forty million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 313 626 907 939 1252 1814 1878 2721 3628 3756 5321 5442 10642 10884 15419 15963 21284 30838 31926 46257 61676 63852 92514 185028 193813 283891 387626 567782 581439 775252 851673 1135564 1162878 1703346 2325756 3294821 3406692 4826147 6589642 9652294 9884463 13179284 14478441 19304588 19768926 28956882 39537852 57913764 60663469 121326938 175788391 181990407 242653876 351576782 363980814 527365173 703153564 727961628 1031278973 1054730346 2062557946 2109460692 2988402647 3093836919 4125115892 5976805294 6187673838 8965207941 11953610588 12375347676 17930415882 35860831764 55021766383 110043532766 165065299149 220087065532 330130598298 660261196596 935370028511 1870740057022 2806110085533 3741480114044 5612220171066 11224440342132