Base | Representation |
---|---|
bin | 10010110101101101… |
… | …00111110110010000 |
3 | 222002212122202020000 |
4 | 21122312213312100 |
5 | 131203213444044 |
6 | 4351342250000 |
7 | 505432210242 |
oct | 113266476620 |
9 | 28085582200 |
10 | 10114203024 |
11 | 4320227482 |
12 | 1b63286900 |
13 | c52564923 |
14 | 6bd3b0092 |
15 | 3e2e1ad69 |
hex | 25ada7d90 |
10114203024 has 100 divisors (see below), whose sum is σ = 29563656540. Its totient is φ = 3337977600.
The previous prime is 10114203019. The next prime is 10114203031. The reversal of 10114203024 is 42030241101.
It can be written as a sum of positive squares in 2 ways, for example, as 8361273600 + 1752929424 = 91440^2 + 41868^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10114202988 and 10114203006.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92262 + ... + 169530.
Almost surely, 210114203024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10114203024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781828270).
10114203024 is an abundant number, since it is smaller than the sum of its proper divisors (19449453516).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10114203024 is a wasteful number, since it uses less digits than its factorization.
10114203024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 77390 (or 77375 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10114203024 its reverse (42030241101), we get a palindrome (52144444125).
The spelling of 10114203024 in words is "ten billion, one hundred fourteen million, two hundred three thousand, twenty-four".
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