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203002131013011 = 321126710925525333
BaseRepresentation
bin101110001010000100011101…
…111010000101110110010011
3222121202210222112210000022100
4232022010131322011312103
5203101441331014404021
61555425520324011443
760521264023013541
oct5612043572056623
9877683875700270
10203002131013011
11597567a177a700
121a92720ab30b83
138937032447a15
14381b4d995ad91
151870840924626
hexb8a11de85d93

203002131013011 has 72 divisors (see below), whose sum is σ = 330117102595280. Its totient is φ = 120083413887360.

The previous prime is 203002131012983. The next prime is 203002131013037. The reversal of 203002131013011 is 110310131200302.

203002131013011 is a `hidden beast` number, since 2 + 0 + 30 + 0 + 21 + 310 + 1 + 301 + 1 = 666.

203002131013011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203002131013011 - 27 = 203002131012883 is a prime.

It is a super-3 number, since 3×2030021310130113 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (203002131013811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4809700 + ... + 20715633.

Almost surely, 2203002131013011 is an apocalyptic number.

203002131013011 is a deficient number, since it is larger than the sum of its proper divisors (127114971582269).

203002131013011 is a wasteful number, since it uses less digits than its factorization.

203002131013011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25525537 (or 25525523 counting only the distinct ones).

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

Adding to 203002131013011 its reverse (110310131200302), we get a palindrome (313312262213313).

The spelling of 203002131013011 in words is "two hundred three trillion, two billion, one hundred thirty-one million, thirteen thousand, eleven".

Divisors: 1 3 9 11 33 67 99 109 121 201 327 363 603 737 981 1089 1199 2211 3597 6633 7303 8107 10791 13189 21909 24321 39567 65727 72963 80333 118701 240999 722997 883663 2650989 7952967 25525333 76575999 229727997 280778663 842335989 1710197311 2527007967 2782261297 3088565293 5130591933 8346783891 9265695879 15391775799 18812170421 25040351673 27797087637 30604874267 56436511263 91814622801 169309533789 186411506899 206933874631 275443868403 336653616937 559234520697 620801623893 1009960850811 1677703562091 1862404871679 2050526575889 3029882552433 6151579727667 18454739183001 22555792334779 67667377004337 203002131013011