Base | Representation |
---|---|
bin | 1100000110110100100010… |
… | …0000000111111100011000 |
3 | 1202010112211210001201021000 |
4 | 3001231020200013330120 |
5 | 3221043040411443000 |
6 | 44151045213145000 |
7 | 2542465630244625 |
oct | 301551040077430 |
9 | 52115753051230 |
10 | 13311320031000 |
11 | 427233214a912 |
12 | 15ab9a618b160 |
13 | 757337b03a04 |
14 | 3403b274334c |
15 | 1813d0a4e000 |
hex | c1b48807f18 |
13311320031000 has 256 divisors, whose sum is σ = 46176351436800. Its totient is φ = 3547343664000.
The previous prime is 13311320030999. The next prime is 13311320031007. The reversal of 13311320031000 is 13002311331.
It is a happy number.
13311320031000 is a `hidden beast` number, since 1 + 3 + 31 + 1 + 320 + 0 + 310 + 0 + 0 = 666.
It is a super-3 number, since 3×133113200310003 (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 (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13311320031007) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40959145 + ... + 41282855.
It is an arithmetic number, because the mean of its divisors is an integer number (180376372800).
Almost surely, 213311320031000 is an apocalyptic number.
13311320031000 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 13311320031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23088175718400).
13311320031000 is an abundant number, since it is smaller than the sum of its proper divisors (32865031405800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13311320031000 is a wasteful number, since it uses less digits than its factorization.
13311320031000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 325264 (or 325244 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 13311320031000 its reverse (13002311331), we get a palindrome (13324322342331).
The spelling of 13311320031000 in words is "thirteen trillion, three hundred eleven billion, three hundred twenty million, thirty-one thousand".
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