Base | Representation |
---|---|
bin | 1100010011011… |
… | …00000100011100 |
3 | 21012012021001001 |
4 | 12021230010130 |
5 | 202404444400 |
6 | 14124000044 |
7 | 2362132450 |
oct | 611540434 |
9 | 235167031 |
10 | 103203100 |
11 | 5328a020 |
12 | 2a690024 |
13 | 184c5730 |
14 | d9c6660 |
15 | 90d8a6a |
hex | 626c11c |
103203100 has 144 divisors (see below), whose sum is σ = 300980736. Its totient is φ = 29664000.
The previous prime is 103203071. The next prime is 103203127. The reversal of 103203100 is 1302301.
It is a super-2 number, since 2×1032031002 = 21301759699220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99585 + ... + 100615.
It is an arithmetic number, because the mean of its divisors is an integer number (2090144).
Almost surely, 2103203100 is an apocalyptic number.
103203100 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 103203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150490368).
103203100 is an abundant number, since it is smaller than the sum of its proper divisors (197777636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103203100 is a wasteful number, since it uses less digits than its factorization.
103203100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1076 (or 1069 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 103203100 is about 10158.8926561904. The cubic root of 103203100 is about 469.0627163687.
Adding to 103203100 its reverse (1302301), we get a palindrome (104505401).
It can be divided in two parts, 103 and 203100, that added together give a triangular number (203203 = T637).
The spelling of 103203100 in words is "one hundred three million, two hundred three thousand, one hundred".
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