Base | Representation |
---|---|
bin | 10011001101010101… |
… | …01100011001000100 |
3 | 222121200121022210100 |
4 | 21212222230121010 |
5 | 132104433340000 |
6 | 4423142324100 |
7 | 513356655261 |
oct | 114652543104 |
9 | 28550538710 |
10 | 10312402500 |
11 | 441209a6a4 |
12 | 1bb9729630 |
13 | c8463b51a |
14 | 6db844268 |
15 | 40551ba00 |
hex | 266aac644 |
10312402500 has 135 divisors (see below), whose sum is σ = 32622086497. Its totient is φ = 2745912000.
The previous prime is 10312402489. The next prime is 10312402501. The reversal of 10312402500 is 520421301.
The square root of 10312402500 is 101550.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 7 ways, for example, as 1284362244 + 9028040256 = 35838^2 + 95016^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10312402501) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15232162 + ... + 15232838.
Almost surely, 210312402500 is an apocalyptic number.
10312402500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10312402500 is the 101550-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10312402500
10312402500 is an abundant number, since it is smaller than the sum of its proper divisors (22309683997).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10312402500 is an frugal number, since it uses more digits than its factorization.
10312402500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1384 (or 687 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 10312402500 its reverse (520421301), we get a palindrome (10832823801).
The spelling of 10312402500 in words is "ten billion, three hundred twelve million, four hundred two thousand, five hundred".
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