Base | Representation |
---|---|
bin | 10010110111111100… |
… | …10111111100001000 |
3 | 222011012001100121100 |
4 | 21123332113330020 |
5 | 131223022342412 |
6 | 4353253341400 |
7 | 506051116500 |
oct | 113376277410 |
9 | 28135040540 |
10 | 10133012232 |
11 | 432a904082 |
12 | 1b69637860 |
13 | c5641c035 |
14 | 6c1aa8a00 |
15 | 3e48d3edc |
hex | 25bf97f08 |
10133012232 has 144 divisors (see below), whose sum is σ = 31989192300. Its totient is φ = 2889250560.
The previous prime is 10133012209. The next prime is 10133012237. The reversal of 10133012232 is 23221033101.
10133012232 is a `hidden beast` number, since 101 + 330 + 1 + 2 + 232 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 8483515236 + 1649496996 = 92106^2 + 40614^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10133012237) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1905994 + ... + 1911302.
Almost surely, 210133012232 is an apocalyptic number.
10133012232 is a gapful number since it is divisible by the number (12) 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 10133012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994596150).
10133012232 is an abundant number, since it is smaller than the sum of its proper divisors (21856180068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10133012232 is a wasteful number, since it uses less digits than its factorization.
10133012232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5876 (or 5862 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10133012232 its reverse (23221033101), we get a palindrome (33354045333).
The spelling of 10133012232 in words is "ten billion, one hundred thirty-three million, twelve thousand, two hundred thirty-two".
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