Base | Representation |
---|---|
bin | 10011000100000000… |
… | …00100011101000000 |
3 | 222102020022011101111 |
4 | 21202000010131000 |
5 | 131424413320000 |
6 | 4411304413104 |
7 | 511416404356 |
oct | 114200043500 |
9 | 28366264344 |
10 | 10234120000 |
11 | 4381991915 |
12 | 1b97477194 |
13 | c7135cb10 |
14 | 6d12a77d6 |
15 | 3ed706cba |
hex | 262004740 |
10234120000 has 140 divisors (see below), whose sum is σ = 27330779476. Its totient is φ = 3778560000.
The previous prime is 10234119949. The next prime is 10234120007. The reversal of 10234120000 is 2143201.
It can be written as a sum of positive squares in 10 ways, for example, as 6635079936 + 3599040064 = 81456^2 + 59992^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10234120007) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510160 + ... + 529840.
Almost surely, 210234120000 is an apocalyptic number.
10234120000 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 10234120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665389738).
10234120000 is an abundant number, since it is smaller than the sum of its proper divisors (17096659476).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10234120000 is an equidigital number, since it uses as much as digits as its factorization.
10234120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19726 (or 19701 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Adding to 10234120000 its reverse (2143201), we get a palindrome (10236263201).
The spelling of 10234120000 in words is "ten billion, two hundred thirty-four million, one hundred twenty thousand".
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