Base | Representation |
---|---|
bin | 11101000110101111010… |
… | …100001111101000000000 |
3 | 21002012121111002212222211 |
4 | 131012233110033220000 |
5 | 230232201341043240 |
6 | 4130500032111504 |
7 | 264334240642123 |
oct | 35065724175000 |
9 | 7065544085884 |
10 | 2000101112320 |
11 | 701268a31a93 |
12 | 283771995594 |
13 | 1167bb4a724c |
14 | 6cb3c0903ba |
15 | 37061d01bea |
hex | 1d1af50fa00 |
2000101112320 has 160 divisors (see below), whose sum is σ = 4996535486976. Its totient is φ = 766993612800.
The previous prime is 2000101112293. The next prime is 2000101112323. The reversal of 2000101112320 is 232111010002.
It is a tau number, because it is divible by the number of its divisors (160).
It is a self number, because there is not a number n which added to its sum of digits gives 2000101112320.
It is not an unprimeable number, because it can be changed into a prime (2000101112323) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8373750 + ... + 8609290.
Almost surely, 22000101112320 is an apocalyptic number.
2000101112320 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 2000101112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498267743488).
2000101112320 is an abundant number, since it is smaller than the sum of its proper divisors (2996434374656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000101112320 is a wasteful number, since it uses less digits than its factorization.
2000101112320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 235702 (or 235686 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
Adding to 2000101112320 its reverse (232111010002), we get a palindrome (2232212122322).
The spelling of 2000101112320 in words is "two trillion, one hundred one million, one hundred twelve thousand, three hundred twenty".
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