Base | Representation |
---|---|
bin | 10110111101101111101011… |
… | …000101010011000100000001 |
3 | 111020121111220121220110222111 |
4 | 112331233223011103010001 |
5 | 101214241201100000001 |
6 | 554450445544335321 |
7 | 30163005426653416 |
oct | 2675575305230401 |
9 | 436544817813874 |
10 | 101000100000001 |
11 | 2a1aa9a14235a4 |
12 | b3b25b5174541 |
13 | 4448365055287 |
14 | 1ad260664a10d |
15 | ba239ebda851 |
hex | 5bdbeb153101 |
101000100000001 has 8 divisors (see below), whose sum is σ = 101771475974784. Its totient is φ = 100228729826160.
The previous prime is 101000099999989. The next prime is 101000100000061. The reversal of 101000100000001 is 100000001000101.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 101000100000001 - 217 = 101000099868929 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (101000100000061) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37480011 + ... + 40084303.
It is an arithmetic number, because the mean of its divisors is an integer number (12721434496848).
Almost surely, 2101000100000001 is an apocalyptic number.
It is an amenable number.
101000100000001 is a deficient number, since it is larger than the sum of its proper divisors (771375974783).
101000100000001 is a wasteful number, since it uses less digits than its factorization.
101000100000001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2900471.
The product of its (nonzero) digits is 1, while the sum is 4.
Adding to 101000100000001 its reverse (100000001000101), we get a palindrome (201000101000102).
It can be divided in two parts, 101000 and 100000001, that added together give a palindrome (100101001).
The spelling of 101000100000001 in words is "one hundred one trillion, one hundred million, one", and thus it is an aban number.
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