Base | Representation |
---|---|
bin | 10001110000011001100… |
… | …101111111000010100001 |
3 | 11022122112211202111211100 |
4 | 101300121211333002201 |
5 | 124442432211200001 |
6 | 2332315134505013 |
7 | 154104460501611 |
oct | 21603145770241 |
9 | 4278484674740 |
10 | 1220200100001 |
11 | 430536167213 |
12 | 178596665169 |
13 | 8b0ab5832bc |
14 | 430b521aa41 |
15 | 21b182d0586 |
hex | 11c1997f0a1 |
1220200100001 has 24 divisors (see below), whose sum is σ = 1776115176264. Its totient is φ = 807192944640.
The previous prime is 1220200099991. The next prime is 1220200100017. The reversal of 1220200100001 is 1000010020221.
It can be written as a sum of positive squares in 4 ways, for example, as 325813781601 + 894386318400 = 570801^2 + 945720^2 .
It is not a de Polignac number, because 1220200100001 - 25 = 1220200099969 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1220200105001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2775441 + ... + 3184881.
It is an arithmetic number, because the mean of its divisors is an integer number (74004799011).
Almost surely, 21220200100001 is an apocalyptic number.
It is an amenable number.
1220200100001 is a deficient number, since it is larger than the sum of its proper divisors (555915076263).
1220200100001 is a wasteful number, since it uses less digits than its factorization.
1220200100001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 412001 (or 411998 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 1220200100001 its reverse (1000010020221), we get a palindrome (2220210120222).
It can be divided in two parts, 1220200 and 100001, that added together give a square (1320201 = 11492).
The spelling of 1220200100001 in words is "one trillion, two hundred twenty billion, two hundred million, one hundred thousand, one".
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