Base | Representation |
---|---|
bin | 100000010100100101001… |
… | …100000110101011100101 |
3 | 21212100002210221102200221 |
4 | 200110211030012223211 |
5 | 242342324214201432 |
6 | 4420211441204341 |
7 | 316320321452335 |
oct | 40244514065345 |
9 | 7770083842627 |
10 | 2221122022117 |
11 | 786a77527909 |
12 | 2ba5753306b1 |
13 | 1315b284c78b |
14 | 79707c890c5 |
15 | 3cb9a953b97 |
hex | 20525306ae5 |
2221122022117 has 2 divisors, whose sum is σ = 2221122022118. Its totient is φ = 2221122022116.
The previous prime is 2221122022103. The next prime is 2221122022127. The reversal of 2221122022117 is 7112202211222.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 1390309824996 + 830812197121 = 1179114^2 + 911489^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-2221122022117 is a prime.
It is a super-2 number, since 2×22211220221172 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2221122022091 and 2221122022100.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (2221122022127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561011058 + 1110561011059.
It is an arithmetic number, because the mean of its divisors is an integer number (1110561011059).
Almost surely, 22221122022117 is an apocalyptic number.
It is an amenable number.
2221122022117 is a deficient number, since it is larger than the sum of its proper divisors (1).
2221122022117 is an equidigital number, since it uses as much as digits as its factorization.
2221122022117 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 896, while the sum is 25.
Adding to 2221122022117 its reverse (7112202211222), we get a palindrome (9333324233339).
The spelling of 2221122022117 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, twenty-two thousand, one hundred seventeen".
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