Base | Representation |
---|---|
bin | 1011000110101110111011… |
… | …0001100101011101010000 |
3 | 1121020021221000022222222001 |
4 | 2301223232301211131100 |
5 | 3100023200033443440 |
6 | 41545200305523344 |
7 | 2400110456204065 |
oct | 261535661453520 |
9 | 47207830288861 |
10 | 12210303031120 |
11 | 39883a6814857 |
12 | 1452531943554 |
13 | 6a757141887c |
14 | 302da6184c6c |
15 | 162940b5eb9a |
hex | b1aeec65750 |
12210303031120 has 80 divisors (see below), whose sum is σ = 28717182138960. Its totient is φ = 4827687321600.
The previous prime is 12210303031099. The next prime is 12210303031123. The reversal of 12210303031120 is 2113030301221.
It can be written as a sum of positive squares in 8 ways, for example, as 754271406144 + 11456031624976 = 868488^2 + 3384676^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×122103030311202 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12210303031123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946780 + ... + 22496260.
It is an arithmetic number, because the mean of its divisors is an integer number (358964776737).
Almost surely, 212210303031120 is an apocalyptic number.
12210303031120 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 12210303031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358591069480).
12210303031120 is an abundant number, since it is smaller than the sum of its proper divisors (16506879107840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12210303031120 is a wasteful number, since it uses less digits than its factorization.
12210303031120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 552704 (or 552698 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
Adding to 12210303031120 its reverse (2113030301221), we get a palindrome (14323333332341).
The spelling of 12210303031120 in words is "twelve trillion, two hundred ten billion, three hundred three million, thirty-one thousand, one hundred twenty".
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