Base | Representation |
---|---|
bin | 11101001000101000011… |
… | …000101100101100110001 |
3 | 21002101212001012002101111 |
4 | 131020220120230230301 |
5 | 230300331333314441 |
6 | 4131433352033321 |
7 | 264435463644400 |
oct | 35105030545461 |
9 | 7071761162344 |
10 | 2002132323121 |
11 | 7021105567a7 |
12 | 28403a092841 |
13 | 116a5325b728 |
14 | 6cc91b51637 |
15 | 371302cc081 |
hex | 1d22862cb31 |
2002132323121 has 12 divisors (see below), whose sum is σ = 2329668998580. Its totient is φ = 1715628630240.
The previous prime is 2002132323109. The next prime is 2002132323137. The reversal of 2002132323121 is 1213232312002.
It can be written as a sum of positive squares in 2 ways, for example, as 1088550008896 + 913582314225 = 1043336^2 + 955815^2 .
It is not a de Polignac number, because 2002132323121 - 29 = 2002132322609 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 2002132323092 and 2002132323101.
It is not an unprimeable number, because it can be changed into a prime (2002132323101) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5596026 + ... + 5943043.
It is an arithmetic number, because the mean of its divisors is an integer number (194139083215).
Almost surely, 22002132323121 is an apocalyptic number.
It is an amenable number.
2002132323121 is a deficient number, since it is larger than the sum of its proper divisors (327536675459).
2002132323121 is a wasteful number, since it uses less digits than its factorization.
2002132323121 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11542624 (or 11542617 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 2002132323121 its reverse (1213232312002), we get a palindrome (3215364635123).
The spelling of 2002132323121 in words is "two trillion, two billion, one hundred thirty-two million, three hundred twenty-three thousand, one hundred twenty-one".
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