Base | Representation |
---|---|
bin | 110000000001100100… |
… | …1011100010100010000 |
3 | 100212012110002112202201 |
4 | 1200003021130110100 |
5 | 3142203244201112 |
6 | 115213405052544 |
7 | 10310464503034 |
oct | 1400311342420 |
9 | 325173075681 |
10 | 103132022032 |
11 | 3a813379666 |
12 | 17ba2857154 |
13 | 9957669c10 |
14 | 4dc4dd21c4 |
15 | 2a391ab257 |
hex | 180325c510 |
103132022032 has 80 divisors (see below), whose sum is σ = 216910210608. Its totient is φ = 47220203520.
The previous prime is 103132022003. The next prime is 103132022069. The reversal of 103132022032 is 230220231301.
103132022032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 1138657536 + 101993364496 = 33744^2 + 319364^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13614598 + ... + 13622170.
Almost surely, 2103132022032 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 103132022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108455105304).
103132022032 is an abundant number, since it is smaller than the sum of its proper divisors (113778188576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103132022032 is a wasteful number, since it uses less digits than its factorization.
103132022032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8108 (or 8102 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
Adding to 103132022032 its reverse (230220231301), we get a palindrome (333352253333).
The spelling of 103132022032 in words is "one hundred three billion, one hundred thirty-two million, twenty-two thousand, thirty-two".
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