Base | Representation |
---|---|
bin | 1010000011100011000001… |
… | …00101101011011111010001 |
3 | 2220021220020010001122122222 |
4 | 11001301200211223133101 |
5 | 10344241101201130001 |
6 | 115010055235110425 |
7 | 4441355515634555 |
oct | 501614045533721 |
9 | 86256203048588 |
10 | 22112112130001 |
11 | 705576a921513 |
12 | 2591585742415 |
13 | c452177bc06a |
14 | 566336617865 |
15 | 2852c05bc61b |
hex | 141c6096b7d1 |
22112112130001 has 2 divisors, whose sum is σ = 22112112130002. Its totient is φ = 22112112130000.
The previous prime is 22112112129983. The next prime is 22112112130007. The reversal of 22112112130001 is 10003121121122.
It is a happy number.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 11376994080400 + 10735118049601 = 3372980^2 + 3276449^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-22112112130001 is a prime.
It is a super-2 number, since 2×221121121300012 (a number of 27 digits) contains 22 as substring.
It is not a weakly prime, because it can be changed into another prime (22112112130007) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056056065000 + 11056056065001.
It is an arithmetic number, because the mean of its divisors is an integer number (11056056065001).
Almost surely, 222112112130001 is an apocalyptic number.
It is an amenable number.
22112112130001 is a deficient number, since it is larger than the sum of its proper divisors (1).
22112112130001 is an equidigital number, since it uses as much as digits as its factorization.
22112112130001 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 48, while the sum is 17.
Adding to 22112112130001 its reverse (10003121121122), we get a palindrome (32115233251123).
It can be divided in two parts, 221121121 and 30001, that added together give a palindrome (221151122).
The spelling of 22112112130001 in words is "twenty-two trillion, one hundred twelve billion, one hundred twelve million, one hundred thirty thousand, one".
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