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200121013313331 = 31123133461508909
BaseRepresentation
bin101101100000001001001101…
…111010010001111100110011
3222020120101022111112022122020
4231200021031322101330303
5202212240313402011311
61545342154020442523
760103160160440265
oct5540111572217463
9866511274468566
10200121013313331
1158845932964800
121a540962549443
13878843b395126
14375bca1781b35
151820917ea5c06
hexb6024de91f33

200121013313331 has 48 divisors (see below), whose sum is σ = 294312920768160. Its totient is φ = 120862800115200.

The previous prime is 200121013313317. The next prime is 200121013313369. The reversal of 200121013313331 is 133313310121002.

200121013313331 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 200121013313331 - 222 = 200121009119027 is a prime.

It is a super-2 number, since 2×2001210133133312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200121013313371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392980905 + ... + 393489813.

It is an arithmetic number, because the mean of its divisors is an integer number (6131519182670).

Almost surely, 2200121013313331 is an apocalyptic number.

200121013313331 is a deficient number, since it is larger than the sum of its proper divisors (94191907454829).

200121013313331 is a wasteful number, since it uses less digits than its factorization.

200121013313331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512708 (or 512697 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 200121013313331 its reverse (133313310121002), we get a palindrome (333434323434333).

The spelling of 200121013313331 in words is "two hundred trillion, one hundred twenty-one billion, thirteen million, three hundred thirteen thousand, three hundred thirty-one".

Divisors: 1 3 11 33 121 313 363 939 3443 3461 10329 10383 37873 38071 113619 114213 418781 508909 1083293 1256343 1526727 3249879 5597999 11916223 16793997 35748669 61577989 131078453 159288517 184733967 393235359 477865551 1752173687 1761334049 5256521061 5284002147 19273910557 19374674539 57821731671 58124023617 213121419929 551297557337 639364259787 1653892672011 6064273130707 18192819392121 66707004437777 200121013313331