Base | Representation |
---|---|
bin | 1001001011111101100001… |
… | …1110100101101000010001 |
3 | 1022202122201000201220010020 |
4 | 2102333120132211220101 |
5 | 2310444023100310001 |
6 | 33252214205054053 |
7 | 2061531450300120 |
oct | 222773036455021 |
9 | 38678630656106 |
10 | 10101100010001 |
11 | 32449416909a0 |
12 | 11717b1b57329 |
13 | 5836b6820350 |
14 | 26cc782d1ab7 |
15 | 127b45a16736 |
hex | 92fd87a5a11 |
10101100010001 has 64 divisors (see below), whose sum is σ = 18571820445696. Its totient is φ = 4712773881600.
The previous prime is 10101100009981. The next prime is 10101100010041. The reversal of 10101100010001 is 10001000110101.
10101100010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10101100010001 - 214 = 10101099993617 is a prime.
It is not an unprimeable number, because it can be changed into a prime (10101100010041) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45343885 + ... + 45566106.
It is an arithmetic number, because the mean of its divisors is an integer number (290184694464).
Almost surely, 210101100010001 is an apocalyptic number.
10101100010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10101100010001 is a deficient number, since it is larger than the sum of its proper divisors (8470720435695).
10101100010001 is a wasteful number, since it uses less digits than its factorization.
10101100010001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90910062.
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 10101100010001 its reverse (10001000110101), we get a palindrome (20102100120102).
It can be divided in two parts, 10101 and 100010001, that multiplied together give a palindrome (1010201020101).
The spelling of 10101100010001 in words is "ten trillion, one hundred one billion, one hundred million, ten thousand, one".
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