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42212205121 is a prime number
BaseRepresentation
bin100111010100000010…
…110010001001000001
311000221211201012102111
4213110002302021001
51142422311030441
631220402015321
73023025552262
oct472402621101
9130854635374
1042212205121
11169a1764539
128220947541
133c99498388
142086304969
151170d15081
hex9d40b2241

42212205121 has 2 divisors, whose sum is σ = 42212205122. Its totient is φ = 42212205120.

The previous prime is 42212205109. The next prime is 42212205157. The reversal of 42212205121 is 12150221224.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42152606721 + 59598400 = 205311^2 + 7720^2 .

It is a cyclic number.

It is not a de Polignac number, because 42212205121 - 217 = 42212074049 is a prime.

It is a super-2 number, since 2×422122051212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42212205092 and 42212205101.

It is not a weakly prime, because it can be changed into another prime (42212205421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21106102560 + 21106102561.

It is an arithmetic number, because the mean of its divisors is an integer number (21106102561).

Almost surely, 242212205121 is an apocalyptic number.

It is an amenable number.

42212205121 is a deficient number, since it is larger than the sum of its proper divisors (1).

42212205121 is an equidigital number, since it uses as much as digits as its factorization.

42212205121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 42212205121 its reverse (12150221224), we get a palindrome (54362426345).

The spelling of 42212205121 in words is "forty-two billion, two hundred twelve million, two hundred five thousand, one hundred twenty-one".