Search a number
-
+
11242120520052 = 2233355972924227
BaseRepresentation
bin1010001110011000001010…
…0110011010000101110100
31110210201212201010110222000
42203212002212122011310
52433142330323120202
635524320414335300
72240134140511332
oct243460246320564
943721781113860
1011242120520052
113644835a52264
12131696b4ba530
13637186c19676
142ac19b6d2b52
1514767788291c
hexa398299a174

11242120520052 has 48 divisors (see below), whose sum is σ = 29147067136320. Its totient is φ = 3747266953056.

The previous prime is 11242120519991. The next prime is 11242120520087. The reversal of 11242120520052 is 25002502124211.

11242120520052 is a `hidden beast` number, since 1 + 12 + 4 + 2 + 120 + 520 + 0 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11242120519998 and 11242120520025.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2382363 + ... + 5306589.

It is an arithmetic number, because the mean of its divisors is an integer number (607230565340).

Almost surely, 211242120520052 is an apocalyptic number.

11242120520052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11242120520052 is an abundant number, since it is smaller than the sum of its proper divisors (17904946616268).

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

11242120520052 is a wasteful number, since it uses less digits than its factorization.

11242120520052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959837 (or 2959829 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 11242120520052 its reverse (25002502124211), we get a palindrome (36244622644263).

The spelling of 11242120520052 in words is "eleven trillion, two hundred forty-two billion, one hundred twenty million, five hundred twenty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 35597 71194 106791 142388 213582 320373 427164 640746 961119 1281492 1922238 2924227 3844476 5848454 8772681 11696908 17545362 26318043 35090724 52636086 78954129 105272172 157908258 315816516 104093708519 208187417038 312281125557 416374834076 624562251114 936843376671 1249124502228 1873686753342 2810530130013 3747373506684 5621060260026 11242120520052