Base | Representation |
---|---|
bin | 10010110101101100… |
… | …11001101101101010 |
3 | 222002212112210210210 |
4 | 21122312121231222 |
5 | 131203210121010 |
6 | 4351341121550 |
7 | 505431546405 |
oct | 113266315552 |
9 | 28085483723 |
10 | 10114145130 |
11 | 4320197a31 |
12 | 1b632592b6 |
13 | c5254447b |
14 | 6bd396d3c |
15 | 3e2e08b20 |
hex | 25ad99b6a |
10114145130 has 64 divisors (see below), whose sum is σ = 24659624448. Its totient is φ = 2654329920.
The previous prime is 10114145123. The next prime is 10114145141. The reversal of 10114145130 is 3154141101.
It is a junction number, because it is equal to n+sod(n) for n = 10114145097 and 10114145106.
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 31 ways as a sum of consecutive naturals, for example, 3156109 + ... + 3159311.
It is an arithmetic number, because the mean of its divisors is an integer number (385306632).
Almost surely, 210114145130 is an apocalyptic number.
10114145130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10114145130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12329812224).
10114145130 is an abundant number, since it is smaller than the sum of its proper divisors (14545479318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10114145130 is a wasteful number, since it uses less digits than its factorization.
10114145130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4851.
The product of its (nonzero) digits is 240, while the sum is 21.
Adding to 10114145130 its reverse (3154141101), we get a palindrome (13268286231).
The spelling of 10114145130 in words is "ten billion, one hundred fourteen million, one hundred forty-five thousand, one hundred thirty".
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