Base | Representation |
---|---|
bin | 101111111110010100… |
… | …1100100011010110000 |
3 | 100211220211221211012100 |
4 | 1133330221210122300 |
5 | 3141442342101222 |
6 | 115154512300400 |
7 | 10305002036145 |
oct | 1377451443260 |
9 | 324824854170 |
10 | 103023003312 |
11 | 3a767888249 |
12 | 17b72241700 |
13 | 993abb93b8 |
14 | 4db47343cc |
15 | 2a2e8244ac |
hex | 17fca646b0 |
103023003312 has 120 divisors (see below), whose sum is σ = 291567276000. Its totient is φ = 33955697664.
The previous prime is 103023003311. The next prime is 103023003319. The reversal of 103023003312 is 213300320301.
103023003312 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 300 + 331 + 2 = 666.
It is a super-2 number, since 2×1030230033122 (a number of 23 digits) contains 22 as substring.
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 (103023003311) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7888564 + ... + 7901612.
It is an arithmetic number, because the mean of its divisors is an integer number (2429727300).
Almost surely, 2103023003312 is an apocalyptic number.
103023003312 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 103023003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145783638000).
103023003312 is an abundant number, since it is smaller than the sum of its proper divisors (188544272688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103023003312 is a wasteful number, since it uses less digits than its factorization.
103023003312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13675 (or 13666 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 103023003312 its reverse (213300320301), we get a palindrome (316323323613).
The spelling of 103023003312 in words is "one hundred three billion, twenty-three million, three thousand, three hundred twelve".
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