Base | Representation |
---|---|
bin | 11101011011010000011… |
… | …011101111111101110001 |
3 | 21011022110211021210212111 |
4 | 131123100123233331301 |
5 | 231112311140030101 |
6 | 4144542053125321 |
7 | 266044206461314 |
oct | 35332033577561 |
9 | 7138424253774 |
10 | 2022131564401 |
11 | 70a643607783 |
12 | 287a9b929841 |
13 | 1188bc72bc00 |
14 | 6dc2bcba97b |
15 | 37900e48251 |
hex | 1d6d06eff71 |
2022131564401 has 12 divisors (see below), whose sum is σ = 2318448096972. Its totient is φ = 1756783981056.
The previous prime is 2022131564381. The next prime is 2022131564437. The reversal of 2022131564401 is 1044651312202.
It can be written as a sum of positive squares in 6 ways, for example, as 24601608801 + 1997529955600 = 156849^2 + 1413340^2 .
It is not a de Polignac number, because 2022131564401 - 29 = 2022131563889 is a prime.
It is a super-2 number, since 2×20221315644012 (a number of 25 digits) contains 22 as substring.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (2022131564471) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351916996 + ... + 351922741.
It is an arithmetic number, because the mean of its divisors is an integer number (193204008081).
Almost surely, 22022131564401 is an apocalyptic number.
It is an amenable number.
2022131564401 is a deficient number, since it is larger than the sum of its proper divisors (296316532571).
2022131564401 is a wasteful number, since it uses less digits than its factorization.
2022131564401 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 703839780 (or 703839767 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 31.
Adding to 2022131564401 its reverse (1044651312202), we get a palindrome (3066782876603).
The spelling of 2022131564401 in words is "two trillion, twenty-two billion, one hundred thirty-one million, five hundred sixty-four thousand, four hundred one".
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