Base | Representation |
---|---|
bin | 10011011010100010… |
… | …00011000010000000 |
3 | 222220101221100122111 |
4 | 21231101003002000 |
5 | 132321304320000 |
6 | 4442135345104 |
7 | 516203025646 |
oct | 115521030200 |
9 | 28811840574 |
10 | 10423120000 |
11 | 4469641367 |
12 | 202a822194 |
13 | ca1565337 |
14 | 70c425196 |
15 | 4100dbcba |
hex | 26d443080 |
10423120000 has 160 divisors (see below), whose sum is σ = 26200035180. Its totient is φ = 4128768000.
The previous prime is 10423119983. The next prime is 10423120021. The reversal of 10423120000 is 2132401.
It can be written as a sum of positive squares in 10 ways, for example, as 2013496384 + 8409623616 = 44872^2 + 91704^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9039424 + ... + 9040576.
Almost surely, 210423120000 is an apocalyptic number.
10423120000 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 10423120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13100017590).
10423120000 is an abundant number, since it is smaller than the sum of its proper divisors (15776915180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10423120000 is an equidigital number, since it uses as much as digits as its factorization.
10423120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1300 (or 1273 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Adding to 10423120000 its reverse (2132401), we get a palindrome (10425252401).
The spelling of 10423120000 in words is "ten billion, four hundred twenty-three million, one hundred twenty thousand".
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