Base | Representation |
---|---|
bin | 110000000111100000… |
… | …0111010010011001010 |
3 | 100212201022201101001100 |
4 | 1200033000322103022 |
5 | 3143110231042023 |
6 | 115245240202230 |
7 | 10315432650462 |
oct | 1401700722312 |
9 | 325638641040 |
10 | 103331112138 |
11 | 3a90579aa41 |
12 | 18039469376 |
13 | 9989996007 |
14 | 5003618ba2 |
15 | 2a4b8d5c43 |
hex | 180f03a4ca |
103331112138 has 96 divisors (see below), whose sum is σ = 245026192320. Its totient is φ = 31345390080.
The previous prime is 103331112013. The next prime is 103331112139. The reversal of 103331112138 is 831211133301.
It is a happy number.
103331112138 is a `hidden beast` number, since 1 + 0 + 333 + 111 + 213 + 8 = 666.
103331112138 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (103331112139) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054381 + ... + 1148207.
It is an arithmetic number, because the mean of its divisors is an integer number (2552356170).
Almost surely, 2103331112138 is an apocalyptic number.
103331112138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 103331112138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122513096160).
103331112138 is an abundant number, since it is smaller than the sum of its proper divisors (141695080182).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103331112138 is a wasteful number, since it uses less digits than its factorization.
103331112138 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93972 (or 93969 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 27.
Adding to 103331112138 its reverse (831211133301), we get a palindrome (934542245439).
The spelling of 103331112138 in words is "one hundred three billion, three hundred thirty-one million, one hundred twelve thousand, one hundred thirty-eight".
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