Search a number
-
+
290126888801 is a prime number
BaseRepresentation
bin1000011100011001110…
…10001111111101100001
31000201212102221000022222
410032030322033331201
514223134440420201
6341141002040425
726650420602521
oct4161472177541
91021772830288
10290126888801
11102051079772
124828aaa9115
132148850aa89
1410083bad681
157830a1791b
hex438ce8ff61

290126888801 has 2 divisors, whose sum is σ = 290126888802. Its totient is φ = 290126888800.

The previous prime is 290126888791. The next prime is 290126888951. The reversal of 290126888801 is 108888621092.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156226515025 + 133900373776 = 395255^2 + 365924^2 .

It is a cyclic number.

It is not a de Polignac number, because 290126888801 - 214 = 290126872417 is a prime.

It is a super-2 number, since 2×2901268888012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (290126888501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 145063444400 + 145063444401.

It is an arithmetic number, because the mean of its divisors is an integer number (145063444401).

Almost surely, 2290126888801 is an apocalyptic number.

It is an amenable number.

290126888801 is a deficient number, since it is larger than the sum of its proper divisors (1).

290126888801 is an equidigital number, since it uses as much as digits as its factorization.

290126888801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 53.

The spelling of 290126888801 in words is "two hundred ninety billion, one hundred twenty-six million, eight hundred eighty-eight thousand, eight hundred one".