Base | Representation |
---|---|
bin | 11101001000110011100… |
… | …101110110011000000000 |
3 | 21002102100010221022121212 |
4 | 131020303211312120000 |
5 | 230301223000220000 |
6 | 4131504145305252 |
7 | 264443235620300 |
oct | 35106345663000 |
9 | 7072303838555 |
10 | 2002320320000 |
11 | 7021a7690620 |
12 | 284091035228 |
13 | 116a831a24a0 |
14 | 6ccacacb600 |
15 | 37141a64c35 |
hex | 1d233976600 |
2002320320000 has 2400 divisors, whose sum is σ = 7344834900480. Its totient is φ = 534159360000.
The previous prime is 2002320319999. The next prime is 2002320320003. The reversal of 2002320320000 is 230232002.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002320320003) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 42602559977 + ... + 42602560023.
Almost surely, 22002320320000 is an apocalyptic number.
2002320320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002320320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672417450240).
2002320320000 is an abundant number, since it is smaller than the sum of its proper divisors (5342514580480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002320320000 is a wasteful number, since it uses less digits than its factorization.
2002320320000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 142 (or 104 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 14.
Adding to 2002320320000 its reverse (230232002), we get a palindrome (2002550552002).
It can be divided in two parts, 2002 and 320320000, that multiplied together give a square (641280640000 = 8008002).
The spelling of 2002320320000 in words is "two trillion, two billion, three hundred twenty million, three hundred twenty thousand".
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