| Base | Representation |
|---|---|
| bin | 101111111110000001… |
| … | …1100010000001100000 |
| 3 | 100211220011012020011200 |
| 4 | 1133330003202001200 |
| 5 | 3141432314011112 |
| 6 | 115153514441200 |
| 7 | 10304521216311 |
| oct | 1377403420140 |
| 9 | 324804166150 |
| 10 | 103013032032 |
| 11 | 3a762197719 |
| 12 | 17b6aa33200 |
| 13 | 9938b07931 |
| 14 | 4db329a608 |
| 15 | 2a2da04cdc |
| hex | 17fc0e2060 |
103013032032 has 144 divisors (see below), whose sum is σ = 308645588160. Its totient is φ = 32500452096.
The previous prime is 103013032027. The next prime is 103013032043. The reversal of 103013032032 is 230230310301.
103013032032 is a `hidden beast` number, since 10 + 301 + 3 + 0 + 320 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1030130320322 (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 a junction number, because it is equal to n+sod(n) for n = 103013031996 and 103013032014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6355843 + ... + 6372029.
It is an arithmetic number, because the mean of its divisors is an integer number (2143372140).
Almost surely, 2103013032032 is an apocalyptic number.
103013032032 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 103013032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154322794080).
103013032032 is an abundant number, since it is smaller than the sum of its proper divisors (205632556128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103013032032 is a wasteful number, since it uses less digits than its factorization.
103013032032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17385 (or 17374 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 103013032032 its reverse (230230310301), we get a palindrome (333243342333).
The spelling of 103013032032 in words is "one hundred three billion, thirteen million, thirty-two thousand, thirty-two".
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