Base | Representation |
---|---|
bin | 1010000000111011111100… |
… | …00011010110000000110001 |
3 | 2212222022200202200122110122 |
4 | 11000131332003112000301 |
5 | 10341303400001214101 |
6 | 114500542332540025 |
7 | 4432031621350562 |
oct | 500357603260061 |
9 | 85868622618418 |
10 | 22022412132401 |
11 | 702071a58669a |
12 | 2578111321615 |
13 | c39920b989c5 |
14 | 561c674d0169 |
15 | 282cc075051b |
hex | 14077e0d6031 |
22022412132401 has 2 divisors, whose sum is σ = 22022412132402. Its totient is φ = 22022412132400.
The previous prime is 22022412132271. The next prime is 22022412132443. The reversal of 22022412132401 is 10423121422022.
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., 13588475925025 + 8433936207376 = 3686255^2 + 2904124^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-22022412132401 is a prime.
It is a super-2 number, since 2×220224121324012 (a number of 27 digits) contains 22 as substring.
It is not a weakly prime, because it can be changed into another prime (22022412132451) 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 as a sum of consecutive naturals, namely, 11011206066200 + 11011206066201.
It is an arithmetic number, because the mean of its divisors is an integer number (11011206066201).
Almost surely, 222022412132401 is an apocalyptic number.
It is an amenable number.
22022412132401 is a deficient number, since it is larger than the sum of its proper divisors (1).
22022412132401 is an equidigital number, since it uses as much as digits as its factorization.
22022412132401 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 3072, while the sum is 26.
Adding to 22022412132401 its reverse (10423121422022), we get a palindrome (32445533554423).
The spelling of 22022412132401 in words is "twenty-two trillion, twenty-two billion, four hundred twelve million, one hundred thirty-two thousand, four hundred one".
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