Base | Representation |
---|---|
bin | 1100000000111011100010… |
… | …0001000111001101000000 |
3 | 1201202212121222120201221200 |
4 | 3000032320201013031000 |
5 | 3212413311222420300 |
6 | 44032351224021200 |
7 | 2532254043233640 |
oct | 300167041071500 |
9 | 51685558521850 |
10 | 13210120123200 |
11 | 4233420471280 |
12 | 1594262601800 |
13 | 74a92a832a70 |
14 | 3395321b8520 |
15 | 17d95b2e6200 |
hex | c03b8847340 |
13210120123200 has 8064 divisors, whose sum is σ = 72269550452736. Its totient is φ = 2197684224000.
The previous prime is 13210120123093. The next prime is 13210120123201. The reversal of 13210120123200 is 232102101231.
13210120123200 is a `hidden beast` number, since 1 + 3 + 210 + 120 + 12 + 320 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13210120123201) by changing a digit.
It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 281066385577 + ... + 281066385623.
It is an arithmetic number, because the mean of its divisors is an integer number (8961997824).
Almost surely, 213210120123200 is an apocalyptic number.
13210120123200 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 13210120123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36134775226368).
13210120123200 is an abundant number, since it is smaller than the sum of its proper divisors (59059430329536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13210120123200 is a wasteful number, since it uses less digits than its factorization.
13210120123200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 191 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 13210120123200 its reverse (232102101231), we get a palindrome (13442222224431).
The spelling of 13210120123200 in words is "thirteen trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-three thousand, two hundred".
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