| Base | Representation |
|---|---|
| bin | 110000000110100111… |
| … | …0011101110101010000 |
| 3 | 100212122020021011101112 |
| 4 | 1200031032131311100 |
| 5 | 3143030041023440 |
| 6 | 115242245152452 |
| 7 | 10314616646114 |
| oct | 1401516356520 |
| 9 | 325566234345 |
| 10 | 103301111120 |
| 11 | 3a89a869809 |
| 12 | 1802b3bb728 |
| 13 | 99836c072c |
| 14 | 4ddd649744 |
| 15 | 2a48e5b965 |
| hex | 180d39dd50 |
103301111120 has 80 divisors (see below), whose sum is σ = 248537842560. Its totient is φ = 39882619392.
The previous prime is 103301111101. The next prime is 103301111129. The reversal of 103301111120 is 21111103301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×1033011111202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 103301111095 and 103301111104.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103301111129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10256327 + ... + 10266393.
It is an arithmetic number, because the mean of its divisors is an integer number (3106723032).
Almost surely, 2103301111120 is an apocalyptic number.
103301111120 is a gapful number since it is divisible by the number (10) 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 103301111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124268921280).
103301111120 is an abundant number, since it is smaller than the sum of its proper divisors (145236731440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103301111120 is a wasteful number, since it uses less digits than its factorization.
103301111120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14532 (or 14526 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 14.
Adding to 103301111120 its reverse (21111103301), we get a palindrome (124412214421).
The spelling of 103301111120 in words is "one hundred three billion, three hundred one million, one hundred eleven thousand, one hundred twenty".
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