Search a number
-
+
113330202113232 = 243213178333953807
BaseRepresentation
bin11001110001001010111110…
…011100000111010011010000
3112212021021001122100101220200
4121301022332130013103100
5104323300223220110412
61041011102012335200
732604560025443466
oct3161127634072320
9485237048311820
10113330202113232
1133124083642925
121086419b474500
134b30cb8b3c180
141ddb2d5196836
15d17ea2d649dc
hex6712be7074d0

113330202113232 has 120 divisors (see below), whose sum is σ = 341756214369024. Its totient is φ = 34851273000192.

The previous prime is 113330202113221. The next prime is 113330202113257. The reversal of 113330202113232 is 232311202033311.

113330202113232 is a `hidden beast` number, since 1 + 1 + 3 + 330 + 2 + 0 + 2 + 1 + 1 + 323 + 2 = 666.

113330202113232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1133302021132322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113330202113196 and 113330202113205.

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 23 ways as a sum of consecutive naturals, for example, 13639128 + ... + 20314679.

Almost surely, 2113330202113232 is an apocalyptic number.

113330202113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113330202113232 is an abundant number, since it is smaller than the sum of its proper divisors (228426012255792).

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

113330202113232 is a wasteful number, since it uses less digits than its factorization.

113330202113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33955617 (or 33955608 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113330202113232 its reverse (232311202033311), we get a palindrome (345641404146543).

The spelling of 113330202113232 in words is "one hundred thirteen trillion, three hundred thirty billion, two hundred two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1783 1872 3566 5349 7132 10698 14264 16047 21396 23179 28528 32094 42792 46358 64188 69537 85584 92716 128376 139074 185432 208611 256752 278148 370864 417222 556296 834444 1112592 1668888 3337776 33953807 67907614 101861421 135815228 203722842 271630456 305584263 407445684 441399491 543260912 611168526 814891368 882798982 1222337052 1324198473 1629782736 1765597964 2444674104 2648396946 3531195928 3972595419 4889348208 5296793892 7062391856 7945190838 10593587784 15890381676 21187175568 31780763352 60539637881 63561526704 121079275762 181618913643 242158551524 363237827286 484317103048 544856740929 726475654572 787015292453 968634206096 1089713481858 1452951309144 1574030584906 2179426963716 2361045877359 2905902618288 3148061169812 4358853927432 4722091754718 6296122339624 7083137632077 8717707854864 9444183509436 12592244679248 14166275264154 18888367018872 28332550528308 37776734037744 56665101056616 113330202113232