Base | Representation |
---|---|
bin | 1001000110000101010100… |
… | …0100011110010001001001 |
3 | 1022102000000221021202202021 |
4 | 2101201111010132101021 |
5 | 2302320211420213001 |
6 | 33133553154204441 |
7 | 2051325034603030 |
oct | 221412504362111 |
9 | 38360027252667 |
10 | 10000111101001 |
11 | 320602901792a |
12 | 1156108b83721 |
13 | 577011187a68 |
14 | 268017bad717 |
15 | 1251d4a8bba1 |
hex | 9185511e449 |
10000111101001 has 4 divisors (see below), whose sum is σ = 11428698401152. Its totient is φ = 8571523800852.
The previous prime is 10000111100983. The next prime is 10000111101011. The reversal of 10000111101001 is 10010111100001.
It is a happy number.
It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.
It is a cyclic number.
It is not a de Polignac number, because 10000111101001 - 233 = 9991521166409 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (7), and also a Moran number because the ratio is a prime number: 1428587300143 = 10000111101001 / (1 + 0 + 0 + 0 + 0 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 1).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (10000111101011) 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 3 ways as a sum of consecutive naturals, for example, 714293650065 + ... + 714293650078.
It is an arithmetic number, because the mean of its divisors is an integer number (2857174600288).
Almost surely, 210000111101001 is an apocalyptic number.
It is an amenable number.
10000111101001 is a deficient number, since it is larger than the sum of its proper divisors (1428587300151).
10000111101001 is an equidigital number, since it uses as much as digits as its factorization.
10000111101001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1428587300150.
The product of its (nonzero) digits is 1, while the sum is 7.
Adding to 10000111101001 its reverse (10010111100001), we get a palindrome (20010222201002).
It can be divided in two parts, 1000011 and 1101001, that added together give a palindrome (2101012).
The spelling of 10000111101001 in words is "ten trillion, one hundred eleven million, one hundred one thousand, one".
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