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226116124361 is a prime number
BaseRepresentation
bin1101001010010110010…
…0100011111011001001
3210121122102101021002122
43102211210203323021
512201041211434421
6251513141141025
722223240226161
oct3224544437311
9717572337078
10226116124361
1187993725a56
12379a59ba775
1318426b606ba
14ad307a35a1
155d361152ab
hex34a5923ec9

226116124361 has 2 divisors, whose sum is σ = 226116124362. Its totient is φ = 226116124360.

The previous prime is 226116124291. The next prime is 226116124393. The reversal of 226116124361 is 163421611622.

226116124361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224984205625 + 1131918736 = 474325^2 + 33644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-226116124361 is a prime.

It is a super-2 number, since 2×2261161243612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (226116024361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 113058062180 + 113058062181.

It is an arithmetic number, because the mean of its divisors is an integer number (113058062181).

Almost surely, 2226116124361 is an apocalyptic number.

It is an amenable number.

226116124361 is a deficient number, since it is larger than the sum of its proper divisors (1).

226116124361 is an equidigital number, since it uses as much as digits as its factorization.

226116124361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 35.

Adding to 226116124361 its reverse (163421611622), we get a palindrome (389537735983).

The spelling of 226116124361 in words is "two hundred twenty-six billion, one hundred sixteen million, one hundred twenty-four thousand, three hundred sixty-one".