| Base | Representation |
|---|---|
| bin | 11101001000100111001… |
| … | …011111110010110010000 |
| 3 | 21002101210122100020210221 |
| 4 | 131020213023332112100 |
| 5 | 230300311211212240 |
| 6 | 4131431353002424 |
| 7 | 264435130665445 |
| oct | 35104713762620 |
| 9 | 7071718306727 |
| 10 | 2002112210320 |
| 11 | 702100169752 |
| 12 | 2840333b3414 |
| 13 | 116a4c038b71 |
| 14 | 6cc8d1d79cc |
| 15 | 3712d657a4a |
| hex | 1d2272fe590 |
2002112210320 has 160 divisors (see below), whose sum is σ = 4843094709600. Its totient is φ = 768796213248.
The previous prime is 2002112210249. The next prime is 2002112210327. The reversal of 2002112210320 is 230122112002.
It is a happy number.
It can be written as a sum of positive squares in 16 ways, for example, as 464488704 + 2001647721616 = 21552^2 + 1414796^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 2002112210294 and 2002112210303.
It is not an unprimeable number, because it can be changed into a prime (2002112210327) 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, 465930412 + ... + 465934708.
It is an arithmetic number, because the mean of its divisors is an integer number (30269341935).
Almost surely, 22002112210320 is an apocalyptic number.
2002112210320 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 2002112210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421547354800).
2002112210320 is an abundant number, since it is smaller than the sum of its proper divisors (2840982499280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002112210320 is a wasteful number, since it uses less digits than its factorization.
2002112210320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5445 (or 5439 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 2002112210320 its reverse (230122112002), we get a palindrome (2232234322322).
The spelling of 2002112210320 in words is "two trillion, two billion, one hundred twelve million, two hundred ten thousand, three hundred twenty".
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