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2002331323332 = 223255620314537
BaseRepresentation
bin11101001000110100001…
…111110100101111000100
321002102100220122100100200
4131020310033310233010
5230301233304321312
64131505221210500
7264443431266054
oct35106417645704
97072326570320
102002331323332
1170220291658a
12284094860a30
13116a85555932
146ccb0353564
15371429da0dc
hex1d2343f4bc4

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".

Divisors: 1 2 3 4 6 9 12 18 36 55620314537 111240629074 166860943611 222481258148 333721887222 500582830833 667443774444 1001165661666 2002331323332