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2002013213121 = 333122310725971
BaseRepresentation
bin11101001000100001010…
…010010101000111000001
321002101112202001200012000
4131020201102111013001
5230300110340304441
64131413455054213
7264432516351045
oct35104122250701
97071482050160
102002013213121
1170205a2a2689
12284006211369
13116a3468693c
146cc7ddc8025
1537124b002b6
hex1d2214951c1

2002013213121 has 32 divisors (see below), whose sum is σ = 3075350691840. Its totient is φ = 1285829283600.

The previous prime is 2002013213111. The next prime is 2002013213141. The reversal of 2002013213121 is 1213123102002.

2002013213121 is a `hidden beast` number, since 20 + 0 + 201 + 321 + 3 + 121 = 666.

It is not a de Polignac number, because 2002013213121 - 211 = 2002013211073 is a prime.

It is a super-2 number, since 2×20020132131212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002013213094 and 2002013213103.

It is not an unprimeable number, because it can be changed into a prime (2002013213111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176335 + ... + 5549636.

It is an arithmetic number, because the mean of its divisors is an integer number (96104709120).

Almost surely, 22002013213121 is an apocalyptic number.

It is an amenable number.

2002013213121 is a deficient number, since it is larger than the sum of its proper divisors (1073337478719).

2002013213121 is a wasteful number, since it uses less digits than its factorization.

2002013213121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726234 (or 10726228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2002013213121 its reverse (1213123102002), we get a palindrome (3215136315123).

The spelling of 2002013213121 in words is "two trillion, two billion, thirteen million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 31 93 223 279 669 837 2007 6021 6913 20739 62217 186651 10725971 32177913 96533739 289601217 332505101 997515303 2391891533 2992545909 7175674599 8977637727 21527023797 64581071391 74148637523 222445912569 667337737707 2002013213121