Base | Representation |
---|---|
bin | 11101001000110100001… |
… | …111110100101111000100 |
3 | 21002102100220122100100200 |
4 | 131020310033310233010 |
5 | 230301233304321312 |
6 | 4131505221210500 |
7 | 264443431266054 |
oct | 35106417645704 |
9 | 7072326570320 |
10 | 2002331323332 |
11 | 70220291658a |
12 | 284094860a30 |
13 | 116a85555932 |
14 | 6ccb0353564 |
15 | 371429da0dc |
hex | 1d2343f4bc4 |
2002331323332 has 18 divisors (see below), whose sum is σ = 5061448622958. Its totient is φ = 667443774432.
The previous prime is 2002331323331. The next prime is 2002331323339. The reversal of 2002331323332 is 2333231332002.
2002331323332 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 3 + 3 + 1 + 323 + 332 = 666.
It can be written as a sum of positive squares in only one way, i.e., 1718736732036 + 283594591296 = 1311006^2 + 532536^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-3 number, since 3×20023313233323 (a number of 38 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2002331323296 and 2002331323305.
It is not an unprimeable number, because it can be changed into a prime (2002331323331) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27810157233 + ... + 27810157304.
Almost surely, 22002331323332 is an apocalyptic number.
It is an amenable number.
2002331323332 is an abundant number, since it is smaller than the sum of its proper divisors (3059117299626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002331323332 is a wasteful number, since it uses less digits than its factorization.
2002331323332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 55620314547 (or 55620314542 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 27.
Adding to 2002331323332 its reverse (2333231332002), we get a palindrome (4335562655334).
The spelling of 2002331323332 in words is "two trillion, two billion, three hundred thirty-one million, three hundred twenty-three thousand, three hundred thirty-two".
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