Base | Representation |
---|---|
bin | 1011001100001001010111… |
… | …0100111111001010000110 |
3 | 1121120011222010121002012000 |
4 | 2303002111310333022012 |
5 | 3103034124301443420 |
6 | 42100020310210130 |
7 | 2406612146516664 |
oct | 263022564771206 |
9 | 47504863532160 |
10 | 12303300031110 |
11 | 3a13889137340 |
12 | 1468566353946 |
13 | 6b3272111a0a |
14 | 3076a9107c34 |
15 | 16508518b690 |
hex | b3095d3f286 |
12303300031110 has 128 divisors (see below), whose sum is σ = 35809233477120. Its totient is φ = 2981133590400.
The previous prime is 12303300031039. The next prime is 12303300031111. The reversal of 12303300031110 is 1113000330321.
It is a happy number.
12303300031110 is a `hidden beast` number, since 1 + 23 + 0 + 330 + 0 + 0 + 311 + 1 + 0 = 666.
12303300031110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×123033000311102 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12303300031111) 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, 4942704 + ... + 7002636.
It is an arithmetic number, because the mean of its divisors is an integer number (279759636540).
Almost surely, 212303300031110 is an apocalyptic number.
12303300031110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 12303300031110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904616738560).
12303300031110 is an abundant number, since it is smaller than the sum of its proper divisors (23505933446010).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12303300031110 is a wasteful number, since it uses less digits than its factorization.
12303300031110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2061971 (or 2061965 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 12303300031110 its reverse (1113000330321), we get a palindrome (13416300361431).
The spelling of 12303300031110 in words is "twelve trillion, three hundred three billion, three hundred million, thirty-one thousand, one hundred ten".
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