Base | Representation |
---|---|
bin | 101110100100010000… |
… | …1100010101010100111 |
3 | 100120010020112011010120 |
4 | 1131020201202222213 |
5 | 3114300224000403 |
6 | 113535000253023 |
7 | 10140055322154 |
oct | 1351041425247 |
9 | 316106464116 |
10 | 100001000103 |
11 | 39456a59534 |
12 | 1746a171173 |
13 | 9578a9ca14 |
14 | 4ba924122b |
15 | 2904385e53 |
hex | 1748862aa7 |
100001000103 has 32 divisors (see below), whose sum is σ = 142069745664. Its totient is φ = 62462400000.
The previous prime is 100001000083. The next prime is 100001000117. The reversal of 100001000103 is 301000100001.
It is not a de Polignac number, because 100001000103 - 210 = 100000999079 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 100001000091 and 100001000100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100001000153) 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 31 ways as a sum of consecutive naturals, for example, 399403 + ... + 599603.
It is an arithmetic number, because the mean of its divisors is an integer number (4439679552).
Almost surely, 2100001000103 is an apocalyptic number.
100001000103 is a deficient number, since it is larger than the sum of its proper divisors (42068745561).
100001000103 is a wasteful number, since it uses less digits than its factorization.
100001000103 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 200407.
The product of its (nonzero) digits is 3, while the sum is 6.
Adding to 100001000103 its reverse (301000100001), we get a palindrome (401001100104).
The spelling of 100001000103 in words is "one hundred billion, one million, one hundred three", and thus it is an aban number.
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