Base | Representation |
---|---|
bin | 110000000110100111… |
… | …0000011100000100100 |
3 | 100212122020001200111012 |
4 | 1200031032003200210 |
5 | 3143030024101200 |
6 | 115242243001352 |
7 | 10314616016555 |
oct | 1401516034044 |
9 | 325566050435 |
10 | 103301003300 |
11 | 3a89a7a5800 |
12 | 1802b369258 |
13 | 9983683631 |
14 | 4ddd61c32c |
15 | 2a48e39a35 |
hex | 180d383824 |
103301003300 has 108 divisors (see below), whose sum is σ = 246659035728. Its totient is φ = 37523640000.
The previous prime is 103301003297. The next prime is 103301003303. The reversal of 103301003300 is 3300103301.
It is an interprime number because it is at equal distance from previous prime (103301003297) and next prime (103301003303).
It is a super-2 number, since 2×1033010033002 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (103301003303) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12713039 + ... + 12721161.
Almost surely, 2103301003300 is an apocalyptic number.
103301003300 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 103301003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123329517864).
103301003300 is an abundant number, since it is smaller than the sum of its proper divisors (143358032428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103301003300 is a wasteful number, since it uses less digits than its factorization.
103301003300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9210 (or 9192 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 14.
Adding to 103301003300 its reverse (3300103301), we get a palindrome (106601106601).
The spelling of 103301003300 in words is "one hundred three billion, three hundred one million, three thousand, three hundred".
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