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22011022022161 is a prime number
BaseRepresentation
bin1010000000100110101110…
…01001100001011000010001
32212221020021222012002120211
411000103113021201120101
510341112033114202121
6114451420211204121
74431146434123234
oct500232711413021
985836258162524
1022011022022161
117016905118247
122575a728a6641
13c388271b33c3
145614a68b141b
15282855802ce1
hex1404d7261611

22011022022161 has 2 divisors, whose sum is σ = 22011022022162. Its totient is φ = 22011022022160.

The previous prime is 22011022022089. The next prime is 22011022022189. The reversal of 22011022022161 is 16122022011022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21669779116561 + 341242905600 = 4655081^2 + 584160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22011022022161 is a prime.

It is a super-3 number, since 3×220110220221613 (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22011022022461) 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, 11005511011080 + 11005511011081.

It is an arithmetic number, because the mean of its divisors is an integer number (11005511011081).

Almost surely, 222011022022161 is an apocalyptic number.

It is an amenable number.

22011022022161 is a deficient number, since it is larger than the sum of its proper divisors (1).

22011022022161 is an equidigital number, since it uses as much as digits as its factorization.

22011022022161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 22011022022161 its reverse (16122022011022), we get a palindrome (38133044033183).

The spelling of 22011022022161 in words is "twenty-two trillion, eleven billion, twenty-two million, twenty-two thousand, one hundred sixty-one".