Base | Representation |
---|---|
bin | 1001000111011010111110… |
… | …0000110100111111000000 |
3 | 1022111012101022012111210220 |
4 | 2101312233200310333000 |
5 | 2303204303422220000 |
6 | 33152314453223040 |
7 | 2053100562334341 |
oct | 221665740647700 |
9 | 38435338174726 |
10 | 10023103320000 |
11 | 3214857582311 |
12 | 115a665031a80 |
13 | 579236751384 |
14 | 2691996340c8 |
15 | 125acd3611a0 |
hex | 91daf834fc0 |
10023103320000 has 280 divisors, whose sum is σ = 33146033936400. Its totient is φ = 2672237568000.
The previous prime is 10023103319989. The next prime is 10023103320001. The reversal of 10023103320000 is 2330132001.
10023103320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10023103320001) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 961074786 + ... + 961085214.
It is an arithmetic number, because the mean of its divisors is an integer number (118378692630).
Almost surely, 210023103320000 is an apocalyptic number.
10023103320000 is a gapful number since it is divisible by the number (10) 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 10023103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573016968200).
10023103320000 is an abundant number, since it is smaller than the sum of its proper divisors (23122930616400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023103320000 is an equidigital number, since it uses as much as digits as its factorization.
10023103320000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18473 (or 18448 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 10023103320000 its reverse (2330132001), we get a palindrome (10025433452001).
The spelling of 10023103320000 in words is "ten trillion, twenty-three billion, one hundred three million, three hundred twenty thousand".
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