Base | Representation |
---|---|
bin | 100000001100010010101… |
… | …101100110011000001001 |
3 | 21211111010120011121002221 |
4 | 200030102231212120021 |
5 | 242221112324213001 |
6 | 4412140353054041 |
7 | 315553632412423 |
oct | 40142255463011 |
9 | 7744116147087 |
10 | 2212222101001 |
11 | 78321a781400 |
12 | 2b88b0857321 |
13 | 1307c4a3cb73 |
14 | 79101c85813 |
15 | 3c8294451a1 |
hex | 20312b66609 |
2212222101001 has 24 divisors (see below), whose sum is σ = 2439530765672. Its totient is φ = 2004568473600.
The previous prime is 2212222100993. The next prime is 2212222101071. The reversal of 2212222101001 is 1001012222122.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 14048175625 + 2198173925376 = 118525^2 + 1482624^2 .
It is not a de Polignac number, because 2212222101001 - 23 = 2212222100993 is a prime.
It is not an unprimeable number, because it can be changed into a prime (2212222101071) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215338201 + ... + 215348473.
Almost surely, 22212222101001 is an apocalyptic number.
It is an amenable number.
2212222101001 is a deficient number, since it is larger than the sum of its proper divisors (227308664671).
2212222101001 is a wasteful number, since it uses less digits than its factorization.
2212222101001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15913 (or 15902 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 2212222101001 its reverse (1001012222122), we get a palindrome (3213234323123).
The spelling of 2212222101001 in words is "two trillion, two hundred twelve billion, two hundred twenty-two million, one hundred one thousand, one".
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