Base | Representation |
---|---|
bin | 10010110111100110… |
… | …10000111101000000 |
3 | 222010222120101211002 |
4 | 21123303100331000 |
5 | 131221301200112 |
6 | 4353111111132 |
7 | 506014300223 |
oct | 113363207500 |
9 | 28128511732 |
10 | 10130100032 |
11 | 43291a50a8 |
12 | 1b686724a8 |
13 | c5593c640 |
14 | 6c154b5ba |
15 | 3e450b1c2 |
hex | 25bcd0f40 |
10130100032 has 56 divisors (see below), whose sum is σ = 21806480136. Its totient is φ = 4641251328.
The previous prime is 10130100017. The next prime is 10130100047. The reversal of 10130100032 is 23000103101.
It is an interprime number because it is at equal distance from previous prime (10130100017) and next prime (10130100047).
It can be written as a sum of positive squares in 4 ways, for example, as 1343662336 + 8786437696 = 36656^2 + 93736^2 .
It is a junction number, because it is equal to n+sod(n) for n = 10130099986 and 10130100022.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69548 + ... + 158420.
It is an arithmetic number, because the mean of its divisors is an integer number (389401431).
Almost surely, 210130100032 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 10130100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903240068).
10130100032 is an abundant number, since it is smaller than the sum of its proper divisors (11676380104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10130100032 is a wasteful number, since it uses less digits than its factorization.
10130100032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 89035 (or 89025 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
Adding to 10130100032 its reverse (23000103101), we get a palindrome (33130203133).
The spelling of 10130100032 in words is "ten billion, one hundred thirty million, one hundred thousand, thirty-two".
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