Search a number
-
+
337123172282641 is a prime number
BaseRepresentation
bin100110010100111001001101…
…0111011011111000100010001
31122012122122211111222120220121
41030221302122323133010101
5323141411224101021031
63153000125230310241
7131003226324441403
oct11451623273370421
91565578744876817
10337123172282641
1198466152a74928
1231988890358381
131161576a63c564
145d36bc47b2b73
1528e9532563011
hex1329c9aedf111

337123172282641 has 2 divisors, whose sum is σ = 337123172282642. Its totient is φ = 337123172282640.

The previous prime is 337123172282581. The next prime is 337123172282707. The reversal of 337123172282641 is 146282271321733.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240853793886225 + 96269378396416 = 15519465^2 + 9811696^2 .

It is a cyclic number.

It is not a de Polignac number, because 337123172282641 - 225 = 337123138728209 is a prime.

It is a super-2 number, since 2×3371231722826412 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (337123172282041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 168561586141320 + 168561586141321.

It is an arithmetic number, because the mean of its divisors is an integer number (168561586141321).

Almost surely, 2337123172282641 is an apocalyptic number.

It is an amenable number.

337123172282641 is a deficient number, since it is larger than the sum of its proper divisors (1).

337123172282641 is an equidigital number, since it uses as much as digits as its factorization.

337123172282641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4064256, while the sum is 52.

The spelling of 337123172282641 in words is "three hundred thirty-seven trillion, one hundred twenty-three billion, one hundred seventy-two million, two hundred eighty-two thousand, six hundred forty-one".