Base | Representation |
---|---|
bin | 10000000000100011000… |
… | …100100000100010101001 |
3 | 10220011112212020220200100 |
4 | 100000203010200202221 |
5 | 121011001100342301 |
6 | 2201213505100013 |
7 | 142323334550211 |
oct | 20004304404251 |
9 | 3804485226610 |
10 | 1100100012201 |
11 | 394605860703 |
12 | 159259327609 |
13 | 7c97b7244a8 |
14 | 3b36089d241 |
15 | 1d939659286 |
hex | 100231208a9 |
1100100012201 has 6 divisors (see below), whose sum is σ = 1589033350970. Its totient is φ = 733400008128.
The previous prime is 1100100012197. The next prime is 1100100012211. The reversal of 1100100012201 is 1022100010011.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 825708429225 + 274391582976 = 908685^2 + 523824^2 .
It is not a de Polignac number, because 1100100012201 - 22 = 1100100012197 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 122233334689 = 1100100012201 / (1 + 1 + 0 + 0 + 1 + 0 + 0 + 0 + 1 + 2 + 2 + 0 + 1).
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (1100100012211) by changing a digit.
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 5 ways as a sum of consecutive naturals, for example, 61116667336 + ... + 61116667353.
Almost surely, 21100100012201 is an apocalyptic number.
It is an amenable number.
1100100012201 is a deficient number, since it is larger than the sum of its proper divisors (488933338769).
1100100012201 is a wasteful number, since it uses less digits than its factorization.
1100100012201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 122233334695 (or 122233334692 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1100100012201 its reverse (1022100010011), we get a palindrome (2122200022212).
The spelling of 1100100012201 in words is "one trillion, one hundred billion, one hundred million, twelve thousand, two hundred one".
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