Base | Representation |
---|---|
bin | 111100110100001… |
… | …011101110110100 |
3 | 2122002220020121212 |
4 | 330310023232310 |
5 | 4042200000000 |
6 | 245124500552 |
7 | 34166341004 |
oct | 7464135664 |
9 | 2562806555 |
10 | 1020312500 |
11 | 483a37979 |
12 | 24584a758 |
13 | 1334cc90c |
14 | 99718004 |
15 | 5e894c35 |
hex | 3cd0bbb4 |
1020312500 has 54 divisors (see below), whose sum is σ = 2235350418. Its totient is φ = 407500000.
The previous prime is 1020312493. The next prime is 1020312523. The reversal of 1020312500 is 52130201.
It is a happy number.
It can be written as a sum of positive squares in 9 ways, for example, as 208860304 + 811452196 = 14452^2 + 28486^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1562174 + ... + 1562826.
Almost surely, 21020312500 is an apocalyptic number.
1020312500 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 1020312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117675209).
1020312500 is an abundant number, since it is smaller than the sum of its proper divisors (1215037918).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020312500 is an frugal number, since it uses more digits than its factorization.
1020312500 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 697 (or 660 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 14.
The square root of 1020312500 is about 31942.3308479516. The cubic root of 1020312500 is about 1006.7254995853.
Adding to 1020312500 its reverse (52130201), we get a palindrome (1072442701).
The spelling of 1020312500 in words is "one billion, twenty million, three hundred twelve thousand, five hundred".
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