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22133203424261 is a prime number
BaseRepresentation
bin1010000100001010010011…
…01110100101010000000101
32220100220200000001102012122
411002011021232211100011
510400112300034034021
6115023504150455325
74443033261655436
oct502051156452005
986326600042178
1022133203424261
11706370335a016
122595691064545
13c471c92b9c37
1456737781348d
15285b0704ebab
hex142149ba5405

22133203424261 has 2 divisors, whose sum is σ = 22133203424262. Its totient is φ = 22133203424260.

The previous prime is 22133203424243. The next prime is 22133203424309. The reversal of 22133203424261 is 16242430233122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14024201112100 + 8109002312161 = 3744890^2 + 2847631^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133203424261 - 238 = 21858325517317 is a prime.

It is a super-2 number, since 2×221332034242612 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22133203424231) 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, 11066601712130 + 11066601712131.

It is an arithmetic number, because the mean of its divisors is an integer number (11066601712131).

Almost surely, 222133203424261 is an apocalyptic number.

It is an amenable number.

22133203424261 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133203424261 is an equidigital number, since it uses as much as digits as its factorization.

22133203424261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 22133203424261 its reverse (16242430233122), we get a palindrome (38375633657383).

The spelling of 22133203424261 in words is "twenty-two trillion, one hundred thirty-three billion, two hundred three million, four hundred twenty-four thousand, two hundred sixty-one".