Search a number
-
+
113330022011100 = 223252125922246679
BaseRepresentation
bin11001110001001010110011…
…101101000101000011011100
3112212021020121002110021020100
4121301022303231011003130
5104323244341113323400
61041011032100221100
732604552410551416
oct3161126355050334
9485236532407210
10113330022011100
1133123aa0a10494
121086414b09a790
134b30c8a73096b
141ddb2b92b39b6
15d17e9213b100
hex6712b3b450dc

113330022011100 has 54 divisors (see below), whose sum is σ = 355226657884280. Its totient is φ = 30221339202720.

The previous prime is 113330022011093. The next prime is 113330022011189. The reversal of 113330022011100 is 1110220033311.

113330022011100 is a `hidden beast` number, since 1 + 1 + 3 + 330 + 0 + 220 + 1 + 110 + 0 = 666.

It is a super-3 number, since 3×1133300220111003 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 62961122440 + ... + 62961124239.

Almost surely, 2113330022011100 is an apocalyptic number.

113330022011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113330022011100 is an abundant number, since it is smaller than the sum of its proper divisors (241896635873180).

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

113330022011100 is a wasteful number, since it uses less digits than its factorization.

113330022011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125922246699 (or 125922246689 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113330022011100 its reverse (1110220033311), we get a palindrome (114440242044411).

The spelling of 113330022011100 in words is "one hundred thirteen trillion, three hundred thirty billion, twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 125922246679 251844493358 377766740037 503688986716 629611233395 755533480074 1133300220111 1259222466790 1511066960148 1888833700185 2266600440222 2518444933580 3148056166975 3777667400370 4533200880444 5666501100555 6296112333950 7555334800740 9444168500925 11333002201110 12592224667900 18888337001850 22666004402220 28332505502775 37776674003700 56665011005550 113330022011100