Base | Representation |
---|---|
bin | 10110111111010100… |
… | …10101110011101010 |
3 | 1011212011022111120000 |
4 | 23133222111303222 |
5 | 200234120300010 |
6 | 5400415243430 |
7 | 614566161552 |
oct | 133752256352 |
9 | 34764274500 |
10 | 12342353130 |
11 | 5263a33648 |
12 | 2485519576 |
13 | 1219071243 |
14 | 851298162 |
15 | 4c38487c0 |
hex | 2dfa95cea |
12342353130 has 80 divisors (see below), whose sum is σ = 33278446080. Its totient is φ = 3282247008.
The previous prime is 12342353129. The next prime is 12342353131. The reversal of 12342353130 is 3135324321.
12342353130 is a `hidden beast` number, since 1 + 2 + 342 + 3 + 5 + 313 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (12342353129) and next prime (12342353131).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 12342353094 and 12342353103.
It is not an unprimeable number, because it can be changed into a prime (12342353131) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276511 + ... + 318029.
It is an arithmetic number, because the mean of its divisors is an integer number (415980576).
Almost surely, 212342353130 is an apocalyptic number.
12342353130 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 12342353130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639223040).
12342353130 is an abundant number, since it is smaller than the sum of its proper divisors (20936092950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12342353130 is a wasteful number, since it uses less digits than its factorization.
12342353130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 41905 (or 41896 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
Adding to 12342353130 its reverse (3135324321), we get a palindrome (15477677451).
The spelling of 12342353130 in words is "twelve billion, three hundred forty-two million, three hundred fifty-three thousand, one hundred thirty".
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