Base | Representation |
---|---|
bin | 101110100100100010… |
… | …0010000010100100001 |
3 | 100120010212122110211211 |
4 | 1131021010100110201 |
5 | 3114310041200001 |
6 | 113535523310121 |
7 | 10140225552400 |
oct | 1351104202441 |
9 | 316125573754 |
10 | 100010100001 |
11 | 39461104409 |
12 | 1747121b341 |
13 | 957a937986 |
14 | 4baa52d637 |
15 | 2905082351 |
hex | 1749110521 |
100010100001 has 24 divisors (see below), whose sum is σ = 116939314440. Its totient is φ = 85280735232.
The previous prime is 100010099983. The next prime is 100010100011. The reversal of 100010100001 is 100001010001.
It can be written as a sum of positive squares in 4 ways, for example, as 42837025 + 99967262976 = 6545^2 + 316176^2 .
It is not a de Polignac number, because 100010100001 - 231 = 97862616353 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (100010100011) 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 23 ways as a sum of consecutive naturals, for example, 16083445 + ... + 16089661.
It is an arithmetic number, because the mean of its divisors is an integer number (4872471435).
Almost surely, 2100010100001 is an apocalyptic number.
It is an amenable number.
100010100001 is a deficient number, since it is larger than the sum of its proper divisors (16929214439).
100010100001 is a wasteful number, since it uses less digits than its factorization.
100010100001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7873 (or 7866 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
Adding to 100010100001 its reverse (100001010001), we get a palindrome (200011110002).
It can be divided in two parts, 10001010000 and 1, that added together give a palindrome (10001010001).
The spelling of 100010100001 in words is "one hundred billion, ten million, one hundred thousand, one".
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