| Base | Representation |
|---|---|
| bin | 1011110101111000000110… |
| … | …0101110000010000000000 |
| 3 | 1201002201110112001120200120 |
| 4 | 2331132001211300100000 |
| 5 | 3201310402312011000 |
| 6 | 43405223450020240 |
| 7 | 2512452122134116 |
| oct | 275360145602000 |
| 9 | 51081415046616 |
| 10 | 13020220032000 |
| 11 | 416a931854045 |
| 12 | 15634a5417680 |
| 13 | 735a55b121ac |
| 14 | 330279625ab6 |
| 15 | 178a448b76a0 |
| hex | bd781970400 |
13020220032000 has 352 divisors, whose sum is σ = 45857812366080. Its totient is φ = 3267818291200.
The previous prime is 13020220031993. The next prime is 13020220032007. The reversal of 13020220032000 is 23002202031.
It is an interprime number because it is at equal distance from previous prime (13020220031993) and next prime (13020220032007).
It is a super-3 number, since 3×130202200320003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (13020220032007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5530741 + ... + 7525259.
It is an arithmetic number, because the mean of its divisors is an integer number (130277876040).
Almost surely, 213020220032000 is an apocalyptic number.
13020220032000 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 13020220032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928906183040).
13020220032000 is an abundant number, since it is smaller than the sum of its proper divisors (32837592334080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13020220032000 is a wasteful number, since it uses less digits than its factorization.
13020220032000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1994574 (or 1994546 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 13020220032000 its reverse (23002202031), we get a palindrome (13043222234031).
The spelling of 13020220032000 in words is "thirteen trillion, twenty billion, two hundred twenty million, thirty-two thousand".
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