Base | Representation |
---|---|
bin | 10010101010110111… |
… | …10111100111000100 |
3 | 221212112121120200102 |
4 | 21111123313213010 |
5 | 131011431203440 |
6 | 4334334103232 |
7 | 503246450351 |
oct | 112533674704 |
9 | 27775546612 |
10 | 10023303620 |
11 | 4283991400 |
12 | 1b3894ab18 |
13 | c397894b5 |
14 | 6b12ab628 |
15 | 3d9e62b15 |
hex | 2556f79c4 |
10023303620 has 72 divisors (see below), whose sum is σ = 23700973464. Its totient is φ = 3555904000.
The previous prime is 10023303593. The next prime is 10023303637. The reversal of 10023303620 is 2630332001.
It can be written as a sum of positive squares in 4 ways, for example, as 911073856 + 9112229764 = 30184^2 + 95458^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 10023303592 and 10023303601.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48710 + ... + 149730.
It is an arithmetic number, because the mean of its divisors is an integer number (329180187).
Almost surely, 210023303620 is an apocalyptic number.
10023303620 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 10023303620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850486732).
10023303620 is an abundant number, since it is smaller than the sum of its proper divisors (13677669844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10023303620 is a wasteful number, since it uses less digits than its factorization.
10023303620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101093 (or 101080 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 10023303620 its reverse (2630332001), we get a palindrome (12653635621).
The spelling of 10023303620 in words is "ten billion, twenty-three million, three hundred three thousand, six hundred twenty".
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